38081768256 has 252 divisors, whose sum is σ = 130076577540. Its totient is φ = 10614804480.

The previous prime is 38081768239. The next prime is 38081768279. The reversal of 38081768256 is 65286718083.

38081768256 is a `hidden beast` number, since 380 + 8 + 1 + 7 + 6 + 8 + 256 = 666.

38081768256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15876000000 + 22205768256 = 126000^2 + 149016^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1140730 + ... + 1173638.

It is an arithmetic number, because the mean of its divisors is an integer number (516176895).

Almost surely, 2^38081768256 is an apocalyptic number.

38081768256 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 38081768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65038288770).

38081768256 is an abundant number, since it is smaller than the sum of its proper divisors (91994809284).

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

38081768256 is a wasteful number, since it uses less digits than its factorization.

38081768256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32982 (or 32962 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 38081768256 in words is "thirty-eight billion, eighty-one million, seven hundred sixty-eight thousand, two hundred fifty-six".