3129724624 has 80 divisors (see below), whose sum is σ = 6834218832. Its totient is φ = 1378750464.

The previous prime is 3129724601. The next prime is 3129724639. The reversal of 3129724624 is 4264279213.

It can be written as a sum of positive squares in 8 ways, for example, as 141134400 + 2988590224 = 11880^2 + 54668^2 .

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 15 ways as a sum of consecutive naturals, for example, 404052 + ... + 411724.

Almost surely, 2^3129724624 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 3129724624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417109416).

3129724624 is an abundant number, since it is smaller than the sum of its proper divisors (3704494208).

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

3129724624 is a wasteful number, since it uses less digits than its factorization.

3129724624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7784 (or 7778 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 3129724624 is about 55943.9417989115. The cubic root of 3129724624 is about 1462.7452919372.

The spelling of 3129724624 in words is "three billion, one hundred twenty-nine million, seven hundred twenty-four thousand, six hundred twenty-four".