The state treasurer may:
(1) inspect the books of any persons charged with the receipt, safekeeping, or disbursement of public money;
(2) require all persons who have received money or who have had the disposition or management of any property of the state of which an account is kept in the department to render statements to the treasurer. A statement must be rendered at times and in the form prescribed by the department.
(3) promulgate rules regarding the distribution and processing of warrants issued; and
(4) establish a system of filing and storage of the original copy of claims paid by state warrant.