Welcome to the forums from the Wiregrass! ".38 S&W CTG" is the cartridge (CTG) the gun chambers, not the model name. If you open the cylinder and look in the yoke cut (hinge), you will see MOD 32 stamped in there. Before model numbers, it was known as the .38/32 Terrier because it chambered .38 S&W but was built on the .32 caliber frame. Your gun was made in 1973.
Ok. Once S&W began using model numbers in 1957, major engineering changes were indicated by a "dash number." So, your Model 32 has had 1 engineering change from its original configuration in 1957. It is a Model 32-1.