38973144 has 64 divisors (see below), whose sum is σ = 113207040. Its totient is φ = 10949760.

The previous prime is 38973139. The next prime is 38973157. The reversal of 38973144 is 44137983.

38973144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8347 + ... + 12149.

It is an arithmetic number, because the mean of its divisors is an integer number (1768860).

Almost surely, 2^38973144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38973144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56603520).

38973144 is an abundant number, since it is smaller than the sum of its proper divisors (74233896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38973144 is a wasteful number, since it uses less digits than its factorization.

38973144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3876 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 38973144 is about 6242.8474272563. The cubic root of 38973144 is about 339.0432850813.

The spelling of 38973144 in words is "thirty-eight million, nine hundred seventy-three thousand, one hundred forty-four".