These models are similar to the one you are viewing.
.38 Spl. cal., round or square butt steel J frame, coiled mainspring, 5 shot, fluted cylinder, 2 in. round pinned or 3 in. barrel, blue or nickel finish, early production had round blade front sight on five screw round butt frame with standard thumbpiece, smooth backstrap and rounded trigger guard, can be found with five, four, or three screw frames with ramp front sight, checkered walnut grips, later production had longer trigger guard with serrated ramped front sight, ser. no. range 1-786544. Mfg. began 1950, by 1957, this model became known as the Model 36.
.38 S&W Special cal., satin blue original finish (military post-war type), early production (1955-1956), found sporadically in the 55000 - 57000 ser. no. range, polished blue finish from 1957-1959 (in approx. 149000 - 150000 ser. no. range).
.32 S&W Long cal., 6 shot fluted cylinder, 3 1/4, 4 1/4, or 6 in. barrel, blue or nickel finish, grips of checked hard rubber with "S&W" monogram, round butt. 271,531 mfg. 1917-1942. Serial range approx. 263001-534532.
.32 S&W Long cal., 6 shot, 2 (rare), 3 1/4, 4 1/4, or 6 in. barrel, blue or nickel, fixed sights, walnut or rubber grips. Serial range 536685 -712953 as an "I" frame mfg. 1946-1960.
.38 S&W Special cal., 6 shot fluted cylinder, 4, 5, or 6 in. barrel, finishes and grip styles same as above. 94,803 mfg. 1909-1915. Serial number range 146900-241703.