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Hereof, can it snow when it's 40 degrees out?

Once the air cools to right around 40 F, it has actually not enough heat in it to keep the snowflakes melting as they fall through the layer of warm air. It snows! Sometimes you get first a mix of rain and snow, then, as the air cools further, it changes to all snow. You can get substantial snowfalls at 40 F.

Likewise, can it snow when it's 34 degrees? By far the easiest is to just have freezing temperatures in place when moisture arrives. If it"s around 34 degrees or colder when the moisture arrives, it"ll snow (Yes, it can be a couple of degrees above freezing and snow).

Thereof, can it snow at 3 degrees Celsius?

Snow forms when the atmospheric temperature is at or below freezing (0 Celsius or 32 Fahrenheit) and there is a minimum amount of moisture in the air. As a general rule, though, snow will not form if the groud temperature is 5 degrees Celsius (41 deg Fahrenheit).

Why does it snow above 32 degrees?

When the air temperature at the ground is less than 32 F, the precipitation begins falling as snow from the clouds. Since it is falling into cold air, the snow does not melt on the way down and reaches the ground as snow. This is how snow falls when the surface temperatures are above freezing.