That is a very nice .357 Magnum. I notice that it has a hammer spur the same width as the hammer, or are my eyes deceiving me? If so, it is an early one after they started up with the 1950 Model. I have one in the late 75,xxx serial number range, so would think yours would be fairly close. It seems Smith started installing a wider spur somewhere in April or May, 1950, from examples I have seen here.
Great find!! You will like it a lot. Shoot and enjoy!!
Oh now you just showing off...