3708 Socus (provisional designation:) is a large Jupiter trojan from the Trojan camp, approximately 77 kilometers (48 miles) in diameter. It was discovered on 21 March 1974, by staff members of the Cerro El Roble Observatory owned and operated by the Department of Astronomy of the University of Chile. The assumed C-type asteroid has a rotation period of 6.55 hours. It was named after Socus, a hero from Greek mythology, who was killed in battle by Odysseus.