38531952 has 60 divisors (see below), whose sum is σ = 111566520. Its totient is φ = 12399744.

The previous prime is 38531951. The next prime is 38531953. The reversal of 38531952 is 25913583.

38531952 is a `hidden beast` number, since 38 + 531 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (38531951) and next prime (38531953).

It is a super-2 number, since 2×38531952² = 2969422649860608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38531951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 438 + ... + 8789.

It is an arithmetic number, because the mean of its divisors is an integer number (1859442).

Almost surely, 2^38531952 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 38531952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55783260).

38531952 is an abundant number, since it is smaller than the sum of its proper divisors (73034568).

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

38531952 is a wasteful number, since it uses less digits than its factorization.

38531952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9270 (or 9261 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 38531952 is about 6207.4110545380. The cubic root of 38531952 is about 337.7590570701.

The spelling of 38531952 in words is "thirty-eight million, five hundred thirty-one thousand, nine hundred fifty-two".