The department may remove an encroachment on the failure of the owner to comply with a notice or demand of the department under the provisions of Section 673, Section 680, or Section 720, and shall have an action to recover the expense of the removal, costs, and expenses of suit and, in addition thereto, the sum of three hundred fifty dollars ($350) for each day the encroachment remains after the expiration of five days from the service of the notice or the demand.