3279128832 has 720 divisors, whose sum is σ = 12465129600. Its totient is φ = 836075520.

The previous prime is 3279128821. The next prime is 3279128843. The reversal of 3279128832 is 2388219723.

It is an interprime number because it is at equal distance from previous prime (3279128821) and next prime (3279128843).

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79978732 + ... + 79978772.

It is an arithmetic number, because the mean of its divisors is an integer number (17312680).

Almost surely, 2^3279128832 is an apocalyptic number.

3279128832 is a gapful number since it is divisible by the number (32) 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 3279128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6232564800).

3279128832 is an abundant number, since it is smaller than the sum of its proper divisors (9186000768).

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

3279128832 is a wasteful number, since it uses less digits than its factorization.

3279128832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3279128832 is about 57263.6781214759. The cubic root of 3279128832 is about 1485.6602145438.

The spelling of 3279128832 in words is "three billion, two hundred seventy-nine million, one hundred twenty-eight thousand, eight hundred thirty-two".