3817937412864 has 216 divisors, whose sum is σ = 11516483788992. Its totient is φ = 1215187107840.

The previous prime is 3817937412857. The next prime is 3817937412901. The reversal of 3817937412864 is 4682147397183.

3817937412864 is a `hidden beast` number, since 3 + 8 + 179 + 374 + 12 + 86 + 4 = 666.

3817937412864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×3817937412864⁴ (a number of 51 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4009842 + ... + 4869774.

Almost surely, 2^{3817937412864} 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 3817937412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758241894496).

3817937412864 is an abundant number, since it is smaller than the sum of its proper divisors (7698546376128).

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

3817937412864 is a wasteful number, since it uses less digits than its factorization.

3817937412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860043 (or 860026 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 3817937412864 in words is "three trillion, eight hundred seventeen billion, nine hundred thirty-seven million, four hundred twelve thousand, eight hundred sixty-four".