38795837126256 has 400 divisors, whose sum is σ = 134444098201600. Its totient is φ = 10566850567680.

The previous prime is 38795837126237. The next prime is 38795837126281. The reversal of 38795837126256 is 65262173859783.

38795837126256 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 583 + 7 + 12 + 6 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17813070 + ... + 19872018.

It is an arithmetic number, because the mean of its divisors is an integer number (336110245504).

Almost surely, 2^{38795837126256} is an apocalyptic number.

38795837126256 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 38795837126256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67222049100800).

38795837126256 is an abundant number, since it is smaller than the sum of its proper divisors (95648261075344).

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

38795837126256 is a wasteful number, since it uses less digits than its factorization.

38795837126256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059074 (or 2059059 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 38795837126256 in words is "thirty-eight trillion, seven hundred ninety-five billion, eight hundred thirty-seven million, one hundred twenty-six thousand, two hundred fifty-six".