38856384 has 168 divisors, whose sum is σ = 133136640. Its totient is φ = 10593792.

The previous prime is 38856371. The next prime is 38856403. The reversal of 38856384 is 48365883.

38856384 is a `hidden beast` number, since 3 + 8 + 8 + 5 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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, 92527 + ... + 92945.

It is an arithmetic number, because the mean of its divisors is an integer number (792480).

Almost surely, 2^38856384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38856384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

38856384 is an abundant number, since it is smaller than the sum of its proper divisors (94280256).

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

38856384 is a wasteful number, since it uses less digits than its factorization.

38856384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 38856384 is about 6233.4889107144. The cubic root of 38856384 is about 338.7043654344.

The spelling of 38856384 in words is "thirty-eight million, eight hundred fifty-six thousand, three hundred eighty-four".