3129719472 has 320 divisors, whose sum is σ = 10190776320. Its totient is φ = 922855680.

The previous prime is 3129719471. The next prime is 3129719531. The reversal of 3129719472 is 2749179213.

It is not an unprimeable number, because it can be changed into a prime (3129719471) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 18090778 + ... + 18090950.

It is an arithmetic number, because the mean of its divisors is an integer number (31846176).

Almost surely, 2^3129719472 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 3129719472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095388160).

3129719472 is an abundant number, since it is smaller than the sum of its proper divisors (7061056848).

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

3129719472 is a wasteful number, since it uses less digits than its factorization.

3129719472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 236 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 3129719472 is about 55943.8957527986. The cubic root of 3129719472 is about 1462.7444893034.

The spelling of 3129719472 in words is "three billion, one hundred twenty-nine million, seven hundred nineteen thousand, four hundred seventy-two".