38728610784 has 192 divisors, whose sum is σ = 119091168000. Its totient is φ = 12210808320.

The previous prime is 38728610779. The next prime is 38728610819. The reversal of 38728610784 is 48701682783.

It is a happy number.

38728610784 is a `hidden beast` number, since 387 + 2 + 86 + 107 + 84 = 666.

It is a super-2 number, since 2×38728610784² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38728610784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13311922 + ... + 13314830.

It is an arithmetic number, because the mean of its divisors is an integer number (620266500).

Almost surely, 2^38728610784 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 38728610784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59545584000).

38728610784 is an abundant number, since it is smaller than the sum of its proper divisors (80362557216).

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

38728610784 is a wasteful number, since it uses less digits than its factorization.

38728610784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 38728610784 in words is "thirty-eight billion, seven hundred twenty-eight million, six hundred ten thousand, seven hundred eighty-four".