38875769856 has 528 divisors, whose sum is σ = 145206647040. Its totient is φ = 10092625920.

The previous prime is 38875769837. The next prime is 38875769903. The reversal of 38875769856 is 65896757883.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×38875769856² (a number of 22 digits) contains 22 as substring.

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

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, 19159050 + ... + 19161078.

Almost surely, 2^38875769856 is an apocalyptic number.

38875769856 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 38875769856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72603323520).

38875769856 is an abundant number, since it is smaller than the sum of its proper divisors (106330877184).

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

38875769856 is a wasteful number, since it uses less digits than its factorization.

38875769856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2052 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 38875769856 in words is "thirty-eight billion, eight hundred seventy-five million, seven hundred sixty-nine thousand, eight hundred fifty-six".