38564872416 has 240 divisors, whose sum is σ = 129799565280. Its totient is φ = 11003351040.

The previous prime is 38564872369. The next prime is 38564872427. The reversal of 38564872416 is 61427846583.

It is a happy number.

38564872416 is a `hidden beast` number, since 3 + 8 + 564 + 8 + 72 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23967420 + ... + 23969028.

It is an arithmetic number, because the mean of its divisors is an integer number (540831522).

Almost surely, 2^38564872416 is an apocalyptic number.

38564872416 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 38564872416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64899782640).

38564872416 is an abundant number, since it is smaller than the sum of its proper divisors (91234692864).

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

38564872416 is a wasteful number, since it uses less digits than its factorization.

38564872416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2942 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 38564872416 in words is "thirty-eight billion, five hundred sixty-four million, eight hundred seventy-two thousand, four hundred sixteen".