38794865760 has 960 divisors, whose sum is σ = 167554759680. Its totient is φ = 8256245760.

The previous prime is 38794865737. The next prime is 38794865771. The reversal of 38794865760 is 6756849783.

38794865760 is a `hidden beast` number, since 3 + 87 + 9 + 486 + 5 + 76 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 122381122 + ... + 122381438.

It is an arithmetic number, because the mean of its divisors is an integer number (174536208).

Almost surely, 2^38794865760 is an apocalyptic number.

38794865760 is a gapful number since it is divisible by the number (30) 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 38794865760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83777379840).

38794865760 is an abundant number, since it is smaller than the sum of its proper divisors (128759893920).

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

38794865760 is a wasteful number, since it uses less digits than its factorization.

38794865760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 38794865760 in words is "thirty-eight billion, seven hundred ninety-four million, eight hundred sixty-five thousand, seven hundred sixty".