38645856 has 48 divisors (see below), whose sum is σ = 112719600. Its totient is φ = 12881664.

The previous prime is 38645837. The next prime is 38645857. The reversal of 38645856 is 65854683.

38645856 is a `hidden beast` number, since 3 + 8 + 64 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 not an unprimeable number, because it can be changed into a prime (38645857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21501 + ... + 23228.

It is an arithmetic number, because the mean of its divisors is an integer number (2348325).

Almost surely, 2^38645856 is an apocalyptic number.

38645856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38645856 is an abundant number, since it is smaller than the sum of its proper divisors (74073744).

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

38645856 is a wasteful number, since it uses less digits than its factorization.

38645856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44748 (or 44734 counting only the distinct ones).

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

The square root of 38645856 is about 6216.5791236017. The cubic root of 38645856 is about 338.0915452930.

The spelling of 38645856 in words is "thirty-eight million, six hundred forty-five thousand, eight hundred fifty-six".