38772032 has 28 divisors (see below), whose sum is σ = 82858356. Its totient is φ = 17894400.

The previous prime is 38772031. The next prime is 38772037. The reversal of 38772032 is 23027783.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4946176 + 33825856 = 2224^2 + 5816^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 38772032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38772031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22469 + ... + 24132.

It is an arithmetic number, because the mean of its divisors is an integer number (2959227).

Almost surely, 2^38772032 is an apocalyptic number.

38772032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38772032 is an abundant number, since it is smaller than the sum of its proper divisors (44086324).

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

38772032 is a wasteful number, since it uses less digits than its factorization.

38772032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46626 (or 46616 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 38772032 is about 6226.7192003494. The cubic root of 38772032 is about 338.4590939429.

The spelling of 38772032 in words is "thirty-eight million, seven hundred seventy-two thousand, thirty-two".