38135876856 has 384 divisors, whose sum is σ = 125473689600. Its totient is φ = 9443174400.

The previous prime is 38135876843. The next prime is 38135876861. The reversal of 38135876856 is 65867853183.

It is a self number, because there is not a number n which added to its sum of digits gives 38135876856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46001850 + ... + 46002678.

It is an arithmetic number, because the mean of its divisors is an integer number (326754400).

Almost surely, 2^38135876856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38135876856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62736844800).

38135876856 is an abundant number, since it is smaller than the sum of its proper divisors (87337812744).

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

38135876856 is a wasteful number, since it uses less digits than its factorization.

38135876856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 956 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 60.

The spelling of 38135876856 in words is "thirty-eight billion, one hundred thirty-five million, eight hundred seventy-six thousand, eight hundred fifty-six".