3128629504 has 288 divisors, whose sum is σ = 8694685440. Its totient is φ = 1083801600.

The previous prime is 3128629501. The next prime is 3128629513. The reversal of 3128629504 is 4059268213.

It is not an unprimeable number, because it can be changed into a prime (3128629501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7431214 + ... + 7431634.

It is an arithmetic number, because the mean of its divisors is an integer number (30189880).

Almost surely, 2^3128629504 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 3128629504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4347342720).

3128629504 is an abundant number, since it is smaller than the sum of its proper divisors (5566055936).

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

3128629504 is a wasteful number, since it uses less digits than its factorization.

3128629504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 3128629504 is about 55934.1532875934. The cubic root of 3128629504 is about 1462.5746626017.

The spelling of 3128629504 in words is "three billion, one hundred twenty-eight million, six hundred twenty-nine thousand, five hundred four".