Cognomen Бугаичук (Бугаичук 
, Bugaichuk 
, Bugaychuk 
) , throughout the world, is a rare family name. The cognomen Бугаичук is habitual in Estonia, where it is a rare surname, Greece, and Russia, where it is a very rare surname. Not in comparison with a country's population, it most frequently occurs in Russia, the United States, and Greece.