In Japan, they removed the title part "Dante's Awakening" and just kept the title as "Devil May Cry 3".
The Special Edition of Devil May Cry 3 is the only game in the series that has "multiplayer" mode. To do this, the second player must get a second controller and press start while the first player uses the Doppelganger Style's "After-image", or when Vergil joins the fight with Arkham. The second player will control a downgraded Vergil with lesser combos than normal, but with infinite health.
Devil May Cry 3's Special Edition had extra content and its game modes were shifted down so that the Special Edition's Normal mode is equivalent to the original's Easy mode, and a new Very Hard mode was added to replace the original Hard mode.
Kazuma Kaneko, known for the Shin Megami Tensei series, was given the right to design the Devil Trigger forms for both Dante and Vergil.