3292128256 has 88 divisors (see below), whose sum is σ = 6927048000. Its totient is φ = 1561534464.

The previous prime is 3292128223. The next prime is 3292128263. The reversal of 3292128256 is 6528212923.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1751125 + ... + 1753003.

Almost surely, 2^3292128256 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 3292128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463524000).

3292128256 is an abundant number, since it is smaller than the sum of its proper divisors (3634919744).

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

3292128256 is a wasteful number, since it uses less digits than its factorization.

3292128256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1969 counting only the distinct ones).

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

The square root of 3292128256 is about 57377.0708210170. The cubic root of 3292128256 is about 1487.6208229519.

The spelling of 3292128256 in words is "three billion, two hundred ninety-two million, one hundred twenty-eight thousand, two hundred fifty-six".