38191136256 has 480 divisors, whose sum is σ = 141653746080. Its totient is φ = 10070065152.

The previous prime is 38191136239. The next prime is 38191136279. The reversal of 38191136256 is 65263119183.

38191136256 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 1 + 13 + 625 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8803720 + ... + 8808056.

It is an arithmetic number, because the mean of its divisors is an integer number (295111971).

Almost surely, 2^38191136256 is an apocalyptic number.

38191136256 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 38191136256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70826873040).

38191136256 is an abundant number, since it is smaller than the sum of its proper divisors (103462609824).

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

38191136256 is a wasteful number, since it uses less digits than its factorization.

38191136256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391 (or 4362 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 38191136256 in words is "thirty-eight billion, one hundred ninety-one million, one hundred thirty-six thousand, two hundred fifty-six".