A device and to a method are provided for using part of the heat given off by an internal combustion engine. A waste-heat-collecting housing surrounds at least part of an exhaust-gas manifold and/or at least part of an engine-side segment of an exhaust-gas system of the internal combustion engine. Air contained in the waste-heat-collecting housing is heated, and the heated air is used indirectly or directly to heat at least one of air that is introduced in a passenger compartment of the vehicle, cooling liquid of the internal combustion engine and oil in an oil circuit of the internal combustion engine. The waste-heat-collecting housing is similarly useable in a stationary apparatus having an internal combustion engine.