Welcome to the forum. That serial number dates your revolver to about 1971. If you swing out the cylinder and look on the exposed frame you will see a stamp like MOD 30-1, or maybe MOD 31-1. That's the model number. The Model 31 has a slightly larger and squarer grip than the Model 30. The Model 30 and 31 are J-frame guns, built on S&W's smallest frame. The six shot .32 target revolver that started this thread is built on their K frame, which is the company's medium frame.
Don't be shy about starting your own thread on your gun and adding a couple of pictures. You'd want to put it in the 1961-1980 section for best visibility, as this one focuses on the older hand-ejector revolvers (1896-1961).
