3885064318944 has 672 divisors, whose sum is σ = 12628531268640. Its totient is φ = 1170505728000.

The previous prime is 3885064318909. The next prime is 3885064318951. The reversal of 3885064318944 is 4498134605883.

3885064318944 is a `hidden beast` number, since 3 + 8 + 8 + 506 + 4 + 3 + 1 + 89 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2426647744 + ... + 2426649344.

It is an arithmetic number, because the mean of its divisors is an integer number (18792457245).

Almost surely, 2^{3885064318944} is an apocalyptic number.

3885064318944 is a gapful number since it is divisible by the number (34) 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 3885064318944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314265634320).

3885064318944 is an abundant number, since it is smaller than the sum of its proper divisors (8743466949696).

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

3885064318944 is a wasteful number, since it uses less digits than its factorization.

3885064318944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 3885064318944 in words is "three trillion, eight hundred eighty-five billion, sixty-four million, three hundred eighteen thousand, nine hundred forty-four".