A screw extruder and gear pump arrangement for highly viscous media includes a screw shaft and a gear pump operatively coupled to the screw shaft. A planet carrier is operatively engaged with at least one rotatably mounted planet gear, a first functional element that is cooperatively engaged with planet gear as a sun wheel, and a second functional element that is cooperatively engaged with the planet gear as an outer ring. One of the first functional element or the second functional element includes gear teeth for meshing with the planet gear and the other includes a sealing region for bearing in a sliding and sealing manner over part of the circumference and length of the planet gear. A pump casing surrounds the planet carrier.