3128232960 has 440 divisors, whose sum is σ = 11829531120. Its totient is φ = 788299776.

The previous prime is 3128232893. The next prime is 3128233021. The reversal of 3128232960 is 692328213.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7879482 + ... + 7879878.

It is an arithmetic number, because the mean of its divisors is an integer number (26885298).

Almost surely, 2^3128232960 is an apocalyptic number.

3128232960 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 3128232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914765560).

3128232960 is an abundant number, since it is smaller than the sum of its proper divisors (8701298160).

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

3128232960 is a wasteful number, since it uses less digits than its factorization.

3128232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3128232960 is about 55930.6084358109. The cubic root of 3128232960 is about 1462.5128677369.

The spelling of 3128232960 in words is "three billion, one hundred twenty-eight million, two hundred thirty-two thousand, nine hundred sixty".