3109866465888 has 1152 divisors, whose sum is σ = 11429826879744. Its totient is φ = 780337152000.

The previous prime is 3109866465829. The next prime is 3109866465907. The reversal of 3109866465888 is 8885646689013.

It is a happy number.

3109866465888 is a `hidden beast` number, since 3 + 1 + 0 + 9 + 86 + 6 + 465 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11067140308 + ... + 11067140588.

It is an arithmetic number, because the mean of its divisors is an integer number (9921724722).

Almost surely, 2^{3109866465888} 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 3109866465888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714913439872).

3109866465888 is an abundant number, since it is smaller than the sum of its proper divisors (8319960413856).

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

3109866465888 is a wasteful number, since it uses less digits than its factorization.

3109866465888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 3109866465888 in words is "three trillion, one hundred nine billion, eight hundred sixty-six million, four hundred sixty-five thousand, eight hundred eighty-eight".