3864627707904 has 476 divisors, whose sum is σ = 12095779232496. Its totient is φ = 1231849783296.

The previous prime is 3864627707869. The next prime is 3864627707921. The reversal of 3864627707904 is 4097077264683.

It is a happy number.

3864627707904 is a `hidden beast` number, since 3 + 86 + 462 + 7 + 7 + 0 + 7 + 90 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1098840354 + ... + 1098843870.

Almost surely, 2^{3864627707904} 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 3864627707904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047889616248).

3864627707904 is an abundant number, since it is smaller than the sum of its proper divisors (8231151524592).

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

3864627707904 is an frugal number, since it uses more digits than its factorization.

3864627707904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 3864627707904 in words is "three trillion, eight hundred sixty-four billion, six hundred twenty-seven million, seven hundred seven thousand, nine hundred four".