Simple question, complex answer. First, on revolvers, the serial number is the one stamped on the butt of the revolver. Other numbers are assembly numbers, and may not match the full number. The SN MAY have a letter prefix, such as V for the WW II Victory model, or J for certain small framed revolvers, such as the Model 36. You can contact S&W for information on when your gun was shipped, or you can check the Standard Catalogue of S&W handguns.
No serial number provided; no way to answer.
Impossible to value with only the serial number and no other information.
It will be on the bottom of the hand butt, or inside the cylider crane area.
t There is not a website.
You must call S&W to find out.
Check the auction sites for one in similar condition.
There are 2 possiblities for your Smith and Wesson revolver.You could have a .32 double action which was made between 1909-1919,or you could have the 32 hand ejector series third model which was made from 1911-1942 with the serial number that you have provided.
Call S&W and they will tell you when it left the factory.
Depending on WHICH Hand Ejector, anywhere from 1896-1910 or so.
You must call S&W to find out.
It sounds to me that with the serial number you provided,you have a Smith an Wesson .32 hand ejector(postwar),Pre model 30.These I frame revolvers were made from 1948-1960.The serial number range is from 536685-712953.Yours falls into this range.I would say that yours was probably made in 1958-1959.
Somewhere between 1915 and 1940. My guess would be about 1930.........FWIW