38856942432 has 1152 divisors, whose sum is σ = 156857057280. Its totient is φ = 9080709120.

The previous prime is 38856942413. The next prime is 38856942457. The reversal of 38856942432 is 23424965883.

38856942432 is a `hidden beast` number, since 3 + 8 + 8 + 569 + 42 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 826743433 + ... + 826743479.

It is an arithmetic number, because the mean of its divisors is an integer number (136160640).

Almost surely, 2^38856942432 is an apocalyptic number.

38856942432 is a gapful number since it is divisible by the number (32) 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 38856942432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78428528640).

38856942432 is an abundant number, since it is smaller than the sum of its proper divisors (118000114848).

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

38856942432 is a wasteful number, since it uses less digits than its factorization.

38856942432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 38856942432 in words is "thirty-eight billion, eight hundred fifty-six million, nine hundred forty-two thousand, four hundred thirty-two".