An extruder screw for a multi-screw extruder, having an intake and metering section. A rotor body has an enlarged diameter relative to the intake and metering section and has a plurality of satellite screws positioned on the outer periphery of the rotor body at least over part of the length thereof. A cone and an adjoining drive zone are formed between the intake and metering section and the rotor body, in which drive zone the satellite screws each engage via a drive pinion in an external toothing on the rotor body or in an internal toothing on a stator ring or in the inner wall of an extruder housing. At least one peripherally closed flow channel is formed, which flow channel extends from an inlet opening on the cone to an outlet opening located downstream of the drive pinions in the direction of flow.