38638656 has 189 divisors, whose sum is σ = 132408549. Its totient is φ = 10741248.

The previous prime is 38638651. The next prime is 38638657. The reversal of 38638656 is 65683683.

38638656 = 1³ + 2³ + ... + 111³.

The square root of 38638656 is 6216.

It is a perfect power (a square), and thus also a powerful number.

38638656 is a `hidden beast` number, since 3 + 8 + 638 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34574400 + 4064256 = 5880^2 + 2016^2 .

It is not an unprimeable number, because it can be changed into a prime (38638651) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1044270 + ... + 1044306.

Almost surely, 2^38638656 is an apocalyptic number.

38638656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38638656 is the 6216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38638656

38638656 is an abundant number, since it is smaller than the sum of its proper divisors (93769893).

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

38638656 is a wasteful number, since it uses less digits than its factorization.

38638656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 49 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The cubic root of 38638656 is about 338.0705476961.

The spelling of 38638656 in words is "thirty-eight million, six hundred thirty-eight thousand, six hundred fifty-six".