3109461264 has 640 divisors, whose sum is σ = 12132556800. Its totient is φ = 739031040.

The previous prime is 3109461217. The next prime is 3109461281. The reversal of 3109461264 is 4621649013.

3109461264 is a `hidden beast` number, since 31 + 0 + 9 + 4 + 612 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17179254 + ... + 17179434.

It is an arithmetic number, because the mean of its divisors is an integer number (18957120).

Almost surely, 2^3109461264 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 3109461264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6066278400).

3109461264 is an abundant number, since it is smaller than the sum of its proper divisors (9023095536).

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

3109461264 is a wasteful number, since it uses less digits than its factorization.

3109461264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3109461264 is about 55762.5435574813. The cubic root of 3109461264 is about 1459.5816127734.

The spelling of 3109461264 in words is "three billion, one hundred nine million, four hundred sixty-one thousand, two hundred sixty-four".