According to SCSW-3, 1J18601 - xxxx were shipped in 1983.
1983 was a transition year when the serial numbers were being converted to alphas in the first three digits. Your gun was apparently one of the last guns to use the old numbering scheme.
The 36 is a nice self-defense/carry gun. I have one - also shipped in 1983. SW36.JPG
I like the larger grips shown on mine. The gun can be a bear to shoot with heavy loads and bullets (158 grain), but with lighter loads and lighter bullets (i.e. 130 grains) and the larger grips, mine is fun to shoot and is accurate at "combat" distances.