S&W .32

Pics & s/n would help greatly as they made a bunch of different models & frame sizes .

Serial number is on the butt, model number, if applicable, will be inside the crane on the yoke.

very nice flat latch revolver, I have a 4 " model 31 a newer model than yours.

My 32 is an older "I" frame; like holding a toy, but it is fun to shoot and cheap to reload

I'm no expert on S&W revolvers, but I do have the Standard Catalog of Smith and Wesson 4th Edition. I believe what you have is a .32 Regulation Police (postwar) Pre-Model 31. The G 45634 is not the model number, but rather an assembly number used by the factory is keeping revolver parts together after fitting and before the final polish and finish (blue in the case of yours). If there is the number 31 inside crane on the yoke, that would be the model number and useful in dating. The Catalog says the upper side plate screw (which yours does not have) was deleted in 1956 at serial number 640980. The factory began using the Model 31 stamp in 1957. So extrapolating (no upper sideplate screw and no "Model 31" stamp) , your revolver was probably shipped 1956-1957 although S&W sometimes shipped out of numerical sequence. Then again, I could be dead wrong, but the picture in the Catalog of the post war Regulation Police looks very much like your revolver. Value is listed at Good $450, Very Good $600. Yours has some surface scratches, so value is probably in between those two. Carefully remove the grips as the serial number may be printed or stamped on one side. The grips appear to be the appropriate style for your revolver. It's a very nice gun.

Looks a lot like my 30-1 which eventually became the 31. 32 is a less desirable caliber than 38 but it’s a really great shooter (more enjoyable than 38 and really accurate too. Yours is in nice shape with original factory grips (big plus for grips) so it’s going to be a higher end gun when it comes to value. If you find the box then that boosts it even more. The flat latch puts yours earlier than most which again is a bump in value. I would say that as-is your in the 400+/- range and the box (if you find it) will add another 150. That’s a truly incredible gun. Being that it was your fathers, I hope the sentimental value exceeds the monetary value, but far too often people find guns tucked away in the sock drawer and sell them because they aren’t interested...for a fraction of what they are worth. I have had a bunch of guns, and my gun like yours is by far my favorite to shoot. Factory ammo is really weak, and expect somewhere around 40-50 cents a shot if you go to buy more.