3282559632 has 180 divisors, whose sum is σ = 10537992192. Its totient is φ = 951350400.

The previous prime is 3282559603. The next prime is 3282559649. The reversal of 3282559632 is 2369552823.

3282559632 is a `hidden beast` number, since 3 + 2 + 8 + 2 + 5 + 5 + 9 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 396657 + ... + 404847.

Almost surely, 2^3282559632 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 3282559632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268996096).

3282559632 is an abundant number, since it is smaller than the sum of its proper divisors (7255432560).

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

3282559632 is a wasteful number, since it uses less digits than its factorization.

3282559632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8230 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 3282559632 is about 57293.6264518140. The cubic root of 3282559632 is about 1486.1781596823.

The spelling of 3282559632 in words is "three billion, two hundred eighty-two million, five hundred fifty-nine thousand, six hundred thirty-two".