3864264037776 has 160 divisors (see below), whose sum is σ = 11181884313600. Its totient is φ = 1277639516160.

The previous prime is 3864264037759. The next prime is 3864264037787. The reversal of 3864264037776 is 6777304624683.

3864264037776 is a `hidden beast` number, since 38 + 6 + 426 + 40 + 3 + 77 + 76 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416358256 + ... + 416367536.

It is an arithmetic number, because the mean of its divisors is an integer number (69886776960).

Almost surely, 2^{3864264037776} is an apocalyptic number.

3864264037776 is a gapful number since it is divisible by the number (36) 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 3864264037776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5590942156800).

3864264037776 is an abundant number, since it is smaller than the sum of its proper divisors (7317620275824).

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

3864264037776 is a wasteful number, since it uses less digits than its factorization.

3864264037776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17014 (or 17002 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 63.

The spelling of 3864264037776 in words is "three trillion, eight hundred sixty-four billion, two hundred sixty-four million, thirty-seven thousand, seven hundred seventy-six".