3129444864 has 480 divisors, whose sum is σ = 11796744960. Its totient is φ = 775028736.

The previous prime is 3129444853. The next prime is 3129444887. The reversal of 3129444864 is 4684449213.

3129444864 is a `hidden beast` number, since 3 + 129 + 44 + 486 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 7128357 + ... + 7128795.

It is an arithmetic number, because the mean of its divisors is an integer number (24576552).

Almost surely, 2^3129444864 is an apocalyptic number.

3129444864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3129444864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898372480).

3129444864 is an abundant number, since it is smaller than the sum of its proper divisors (8667300096).

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

3129444864 is a wasteful number, since it uses less digits than its factorization.

3129444864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 481 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 3129444864 is about 55941.4413829318. The cubic root of 3129444864 is about 1462.7017066525.

The spelling of 3129444864 in words is "three billion, one hundred twenty-nine million, four hundred forty-four thousand, eight hundred sixty-four".