38856456 has 64 divisors (see below), whose sum is σ = 109800000. Its totient is φ = 12728448.

The previous prime is 38856443. The next prime is 38856457. The reversal of 38856456 is 65465883.

38856456 is a `hidden beast` number, since 3 + 88 + 564 + 5 + 6 = 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 not an unprimeable number, because it can be changed into a prime (38856457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11220 + ... + 14268.

It is an arithmetic number, because the mean of its divisors is an integer number (1715625).

Almost surely, 2^38856456 is an apocalyptic number.

38856456 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 38856456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54900000).

38856456 is an abundant number, since it is smaller than the sum of its proper divisors (70943544).

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

38856456 is a wasteful number, since it uses less digits than its factorization.

38856456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3113 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 38856456 is about 6233.4946859687. The cubic root of 38856456 is about 338.7045746381.

The spelling of 38856456 in words is "thirty-eight million, eight hundred fifty-six thousand, four hundred fifty-six".