38802256038 has 384 divisors, whose sum is σ = 114955975680. Its totient is φ = 9523422720.

The previous prime is 38802256001. The next prime is 38802256081. The reversal of 38802256038 is 83065220883.

38802256038 is a `hidden beast` number, since 3 + 8 + 80 + 2 + 2 + 560 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38802255984 and 38802256002.

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, 51257556 + ... + 51258312.

It is an arithmetic number, because the mean of its divisors is an integer number (299364520).

Almost surely, 2^38802256038 is an apocalyptic number.

38802256038 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38802256038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57477987840).

38802256038 is an abundant number, since it is smaller than the sum of its proper divisors (76153719642).

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

38802256038 is a wasteful number, since it uses less digits than its factorization.

38802256038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 862 counting only the distinct ones).

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

The spelling of 38802256038 in words is "thirty-eight billion, eight hundred two million, two hundred fifty-six thousand, thirty-eight".