38642256 has 60 divisors (see below), whose sum is σ = 108930900. Its totient is φ = 12787200.

The previous prime is 38642243. The next prime is 38642269. The reversal of 38642256 is 65224683.

38642256 is a `hidden beast` number, since 3 + 8 + 642 + 2 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (38642243) and next prime (38642269).

It can be written as a sum of positive squares in 2 ways, for example, as 4769856 + 33872400 = 2184^2 + 5820^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38642256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20556 + ... + 22356.

It is an arithmetic number, because the mean of its divisors is an integer number (1815515).

Almost surely, 2^38642256 is an apocalyptic number.

38642256 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 38642256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54465450).

38642256 is an abundant number, since it is smaller than the sum of its proper divisors (70288644).

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

38642256 is a wasteful number, since it uses less digits than its factorization.

38642256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1955 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 38642256 is about 6216.2895685449. The cubic root of 38642256 is about 338.0810468206.

The spelling of 38642256 in words is "thirty-eight million, six hundred forty-two thousand, two hundred fifty-six".