The county superintendent of schools or the governing board of the district, as the case may be, which shall have, in reference to 24-hour schools, the same powers and duties which are now or may hereafter be assigned by law for the management of other schools. A 24-hour school established by a school district maintaining elementary schools shall be one of the public elementary schools of the district. The average daily attendance of each such school shall be reported to the Superintendent of Public Instruction for purposes of allowances and apportionments from the State School Fund in the manner otherwise prescribed by and pursuant to law.