In this case it is not hard to make a really good ID, because that number is pretty unique among older S&W s/n systems. That would be about '43/'44 most likely, but hard to be any more precise with public information. The gun would be probably be as Old Fuff described.
Starter52 said:
Sounds like a Victory Model S&W.
Smith & Wesson made about 800,000 of them during the war. Yours is from the middle of the run.
His is one of two different models lumped together as a "Victory Model." His model was made in smaller numbers, more like 1/4 million.
His is an originally chambered .38 Special as per the barrel mark. S&W made closer to 1/4 million of them. They are outnumbered 2:1 by the .38/200 models for the British, giving a total production of near 800,000 I believe. They were all in the same serial number range, but were not the same "model." It's easy to argue they were variations of the same model, but S&W is not consistent about making different barrel lengths and chamberings variations of one model or two separate models. But by far more often than not, different chamberings are different models, not variations of the same. In this case, it's clear they considered it two models as it carried different names, and then model numbers after their introduction (the .38/200 model was known as the Model 11). S&W has, for most of the 20th Century, run multiple models in the same s/n sequence, and still does. But I think it's correct to collectively call them "Victory Models
s" and not just examples of one "Victory Model."
The reason I get nit-picky about this is there are a lot of people out their over-paying for the more common and less useful .38/200 Models. It's worth pointing out the differences so people can better understand what they are looking at and get the most out of their shopping dollars.