the Serial number is J889xxx.
billcarey: You appear to have a .32 Hand Ejector Model of 1903 - 1st Change. That particular variation was manufactured from 1904 to 1906, about 50 or so years before S&W started assigning model numbers. When they did, this gun (with some modifications, of course) became the Models 30 and 31.
Serial numbers ran from 295000 in 1962 to 786544 in 1969.S&W M38, no dash, SN 647XXX,