Elflan, many revolvers were made for the .32 S&W long cartridge. It was common to find revolvers marked with the cartridge designation in a way that might lead the consumer to believe the revolver was made by S&W, not just for that cartridge (CTG).
If you gun is a Smith and Wesson, it is most likely a hand ejector: six shot, I or J frame, although it could be a K frame.
If an S&W product, the same serial number should appear on the butt of the grip frame, on the back of the cylinder (your 'wheel'

and on the bottom flat of the barrel. You'll have to swing out the cylinder to see it there. The same number should appear in those three places if the main parts of your S&W revolver are original.
With enough descriptive information, anyone can look up the approximate age of an S&W revolver. The serial number is one important datum.
On S&W revolvers, the numbers on the frame inside the cylinder yoke are assembly and/or model numbers.
A revolver has multiple chambers in a cylinder which revolves. The chambers line up with (usually) a single barrel. Pistols have a single chamber for each barrel. Thus, pistols may be single shot, multiple barreled, or fed from a magazine. I believe the alternative noun for your revolver is 'handgun', rather than 'pistol'.
Derek V.