3126742584 has 128 divisors (see below), whose sum is σ = 9294151680. Its totient is φ = 857750400.

The previous prime is 3126742573. The next prime is 3126742607. The reversal of 3126742584 is 4852476213.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 679957 + ... + 684539.

It is an arithmetic number, because the mean of its divisors is an integer number (72610560).

Almost surely, 2^3126742584 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 3126742584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647075840).

3126742584 is an abundant number, since it is smaller than the sum of its proper divisors (6167409096).

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

3126742584 is a wasteful number, since it uses less digits than its factorization.

3126742584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4757 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 3126742584 is about 55917.2834104090. The cubic root of 3126742584 is about 1462.2805704248.

The spelling of 3126742584 in words is "three billion, one hundred twenty-six million, seven hundred forty-two thousand, five hundred eighty-four".