Help!!!!my 3 year old is driving me crazy!!!!?

i have two kids. one 6 and another 3. my 6 year old son is really wel behaved. he paints, watches animal channel, sings ...he is really a genius of the family. my 3 year old one unluckly is a cave man. he spat on the private tutor, poked him with pen, tried to pee on him,pulled his beard, and tore my eldest sons book when he was reading. he also pees on people from the balcony,throws eggs on people, and throws toys from the balcony. he takes the shower handle and wets the bed ,carpets by turning the shower on and hosing the room. i tried , time outs, shouting, threats but nothing helps. if i him he cries for a little wile then again runs around the house naked and spilling water or beating people with a stick, turning on the microwave, turning on the stove and laughing hysterically while he does this. he doesnot show tantrum but this is like a game for him. i run around chasing him and he clutters the entire house. all day he does this. its like running after a crazy cat.