Kanook is right, but our ability to identify a gun is dependent on how much information is provided, and yes - a picture is a big help. The marking on the side of the barrel simply says what cartridge the revolver is chambered to use, but not the model. The 1917 patent date on the bottom of the stocks is more helpful, because it was only used on one model, and the patent refers to the stocks themselves. The serial number is stamped on the front of the frame's handle just above the mainspring strain screw.
Apparently you have a
Smith & Wesson 32 Regulation Police. The model was introduced in 1917 with the beginning serial number being in the 331,000 range. I estimate your revolver (#373,2xx) was made sometime between 1918 and the early 1920's. Standard barrel lengths were 3 1/4, 4 1/4 and 6 inches. Standard finish was either blue or nickel plate. Almost all of them had checkered walnut stocks. The hammer and trigger were color case hardened. Approximate value is between $200 to $350 depending on condition. .32 S&W Long ammunition is available, although it may have to be special ordered.
If you want to know more, and are willing to pay a reasonable $50.00 research fee, S&W will have they're company historian look up your particular revolver in the old shipping records, and send you a formal letter containing whatever information they find. It usually contains the date the gun was shipped from the factory, and to what distributor, dealer or individual.
Additional information can be found at:
www.smith-wesson.com
The gun is the .32 Hand Ejector, Third Model; they were made from 1911 to 1942.
Sort of...
The Regulation Police model was a later variant of the .32 Hand Ejector. The former had a round butt, where the Police Model had a square one. Otherwise they were the same, but the Police Model is less common, which accounts for the difference in value.