38106792941256 has 512 divisors, whose sum is σ = 121180655232000. Its totient is φ = 10991618998272.

The previous prime is 38106792941249. The next prime is 38106792941279. The reversal of 38106792941256 is 65214929760183.

38106792941256 is a `hidden beast` number, since 3 + 81 + 0 + 6 + 7 + 92 + 9 + 412 + 56 = 666.

38106792941256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38106792941193 and 38106792941202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23713000405 + ... + 23713002011.

It is an arithmetic number, because the mean of its divisors is an integer number (236680967250).

It is a 1-persistent number, because it is pandigital, but 2⋅38106792941256 = 76213585882512 is not.

Almost surely, 2^{38106792941256} is an apocalyptic number.

38106792941256 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 38106792941256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60590327616000).

38106792941256 is an abundant number, since it is smaller than the sum of its proper divisors (83073862290744).

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

38106792941256 is a wasteful number, since it uses less digits than its factorization.

38106792941256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 38106792941256 in words is "thirty-eight trillion, one hundred six billion, seven hundred ninety-two million, nine hundred forty-one thousand, two hundred fifty-six".