You have a Smith and Wesson model 14 38 special. The 38 refers to the diameter of the barrel. That barrel is 38/100 of an inch in diameter. A 45 automatic has a barrel that is 45/100 of an inch in diameter. A 9mm has a barrel with a 9mm diameter. You can shoot 9mm ammunition from a 38 special. A 22 pistol has a small diameter barrel.
Third engineering change in the Model 14 line.
Cartridge
No such S&W trade mark
Probably Kansas Highway Patrol. Smith sometimes makes a commerative run of pistols and sometimes a large customer will order special markings on a standard model.
Seldom exceeds price of similar condition model without Last Stand markings; @ 500 USD
Enhanced
Cartridge
'ctg' cartridge
Enhanced
Double Action
The "C" in the serial number of a Smith & Wesson .38 Special cartridge (ctg) typically indicates that the firearm was manufactured with a specific characteristic or feature, such as a particular finish or model variant. In some cases, it may denote a model change or special edition. However, the exact meaning can vary depending on the production year and model. For precise identification, consulting Smith & Wesson's official resources or a knowledgeable firearms expert is recommended.
I believe it alludes to production periods