Snow forms when the atmospheric temperature is at or below freezing (0 degrees Celsius or 32 degrees Fahrenheit) and there is a minimum amount of moisture in the air. If the ground temperature is at or below freezing, the snow will reach the ground.
Is 37 cold enough to snow?
For example: If the air temperature is 37 degrees, but really dry, say with a dew point of 18 degrees, then the wet bulb temperature is actually below freezing at 31 degrees, and snow can now be created.
Does it get colder when snowing?
Both melting and evaporating take up energy, which means there's less energy to raise those temperatures. Then at night, snow gives out what's called long-wave radiation. Essentially, it's letting go of whatever heat it may have and cools the air even more. This is especially true with fresh snow.