Fun fact: the reason why everything is so quiet when it snows is because the snowflakes "absorb" sound, similar to foam in a recording studio. The bigger the flakes in the air (and the more snow on the ground), the more sound gets absorbed. On top of that, there's less activity happening outside when it's snowing heavily. Less birds flying around and chirping, most animals are hunkered down, less people and cars on the roads.
Even the wind during a blizzard can seem quieter because there aren't leaves on the trees to make rustling sounds, and the snow even absorbs some of the sound from the wind!