3099931841664 has 768 divisors, whose sum is σ = 11564743680000. Its totient is φ = 811986094080.

The previous prime is 3099931841651. The next prime is 3099931841687. The reversal of 3099931841664 is 4661481399903.

3099931841664 is a `hidden beast` number, since 30 + 99 + 93 + 18 + 416 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99728077 + ... + 99759155.

It is an arithmetic number, because the mean of its divisors is an integer number (15058260000).

Almost surely, 2^{3099931841664} 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 3099931841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5782371840000).

3099931841664 is an abundant number, since it is smaller than the sum of its proper divisors (8464811838336).

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

3099931841664 is a wasteful number, since it uses less digits than its factorization.

3099931841664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31166 (or 31141 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 3099931841664 in words is "three trillion, ninety-nine billion, nine hundred thirty-one million, eight hundred forty-one thousand, six hundred sixty-four".