38967152 has 60 divisors (see below), whose sum is σ = 91686096. Its totient is φ = 15966720.

The previous prime is 38967139. The next prime is 38967167. The reversal of 38967152 is 25176983.

It is a super-2 number, since 2×38967152² = 3036877869982208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16952 + ... + 19112.

Almost surely, 2^38967152 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 38967152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45843048).

38967152 is an abundant number, since it is smaller than the sum of its proper divisors (52718944).

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

38967152 is a wasteful number, since it uses less digits than its factorization.

38967152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2193 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 38967152 is about 6242.3674995950. The cubic root of 38967152 is about 339.0259085729.

The spelling of 38967152 in words is "thirty-eight million, nine hundred sixty-seven thousand, one hundred fifty-two".