38565756 has 72 divisors (see below), whose sum is σ = 103993344. Its totient is φ = 12022560.

The previous prime is 38565749. The next prime is 38565781. The reversal of 38565756 is 65756583.

38565756 is a `hidden beast` number, since 38 + 565 + 7 + 56 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38421 + ... + 39411.

It is an arithmetic number, because the mean of its divisors is an integer number (1444352).

Almost surely, 2^38565756 is an apocalyptic number.

38565756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38565756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51996672).

38565756 is an abundant number, since it is smaller than the sum of its proper divisors (65427588).

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

38565756 is a wasteful number, since it uses less digits than its factorization.

38565756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1066 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 38565756 is about 6210.1333319020. The cubic root of 38565756 is about 337.8577999689.

The spelling of 38565756 in words is "thirty-eight million, five hundred sixty-five thousand, seven hundred fifty-six".