Welcome to the forum! Your gun is a S&W Chief's Special Airweight (alloy frame) w/square butt made ca. 1983.
The "38 Spl CTG" stamped on the barrel stands for "38 Special Cartridge", the correct ammo for this gun.
The other numbers you metioned are merely factory assembly numbers and have no meaning.
Value can be between $200-$500 depending on condition and market.