3128879520 has 576 divisors, whose sum is σ = 12350257920. Its totient is φ = 719566848.

The previous prime is 3128879471. The next prime is 3128879531. The reversal of 3128879520 is 259788213.

It is a happy number.

3128879520 is a `hidden beast` number, since 31 + 28 + 8 + 79 + 520 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72764619 + ... + 72764661.

It is an arithmetic number, because the mean of its divisors is an integer number (21441420).

Almost surely, 2^3128879520 is an apocalyptic number.

3128879520 is a gapful number since it is divisible by the number (30) 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 3128879520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175128960).

3128879520 is an abundant number, since it is smaller than the sum of its proper divisors (9221378400).

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

3128879520 is a wasteful number, since it uses less digits than its factorization.

3128879520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3128879520 is about 55936.3881565480. The cubic root of 3128879520 is about 1462.6136208023.

The spelling of 3128879520 in words is "three billion, one hundred twenty-eight million, eight hundred seventy-nine thousand, five hundred twenty".