38979538274304 has 768 divisors, whose sum is σ = 124267014144000. Its totient is φ = 12187078705152.

The previous prime is 38979538274297. The next prime is 38979538274357. The reversal of 38979538274304 is 40347283597983.

38979538274304 is a `hidden beast` number, since 3 + 8 + 97 + 95 + 3 + 82 + 74 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 8765353809 + ... + 8765358255.

It is an arithmetic number, because the mean of its divisors is an integer number (161806008000).

Almost surely, 2^{38979538274304} 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 38979538274304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62133507072000).

38979538274304 is an abundant number, since it is smaller than the sum of its proper divisors (85287475869696).

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

38979538274304 is an equidigital number, since it uses as much as digits as its factorization.

38979538274304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 38979538274304 in words is "thirty-eight trillion, nine hundred seventy-nine billion, five hundred thirty-eight million, two hundred seventy-four thousand, three hundred four".