A pressure-sensitive adhesive for bonding to various surfaces, such as metals, plastics, and also vehicle finishes, with rapid wetting and high adhesion, with good shear strengths and bond strengths under different conditions and without undergoing dewetting even under lasting mechanical load, comprises: a) at least 50 wt % of at least one polymer A whose monomer basis comprises the following monomers: a1) at least one (meth)acrylic ester having a homopolymer glass transition temperature of not more than −60° C. and an alcohol component based on a branched, primary alcohol, having an iso index of 1; a2) at least one (meth)acrylic ester having an alcohol component based on a linear C1-C18 alcohol; a3) acrylic acid; b) at least 5 wt % of at least one synthetic rubber; and c) at least 10 wt % of at least one peel adhesion-reinforcing resin. Also disclosed is an adhesive tape comprising a foamed carrier and the pressure-sensitive adhesive.