3126059664 has 240 divisors, whose sum is σ = 10651193280. Its totient is φ = 780917760.

The previous prime is 3126059653. The next prime is 3126059711. The reversal of 3126059664 is 4669506213.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 578254 + ... + 583634.

It is an arithmetic number, because the mean of its divisors is an integer number (44379972).

Almost surely, 2^3126059664 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 3126059664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5325596640).

3126059664 is an abundant number, since it is smaller than the sum of its proper divisors (7525133616).

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

3126059664 is a wasteful number, since it uses less digits than its factorization.

3126059664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5425 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 3126059664 is about 55911.1765571071. The cubic root of 3126059664 is about 1462.1741025024.

The spelling of 3126059664 in words is "three billion, one hundred twenty-six million, fifty-nine thousand, six hundred sixty-four".