A semiconductor device includes semiconductor device components, an adhesion promoter structure and a plastic housing composition. The semiconductor device components are embedded in the plastic housing composition with the adhesion promoter structure being disposed between the device components and the housing composition. The adhesion promoter structure includes first and second adhesion promoter layers. The first layer includes metal oxides. The metal oxides being silicates of a reactive compound composed of oxygen and organometallic molecules. The second layer includes at least one polymer.