3282840576 has 264 divisors, whose sum is σ = 10014251520. Its totient is φ = 1073958912.

The previous prime is 3282840553. The next prime is 3282840581. The reversal of 3282840576 is 6750482823.

3282840576 is a `hidden beast` number, since 32 + 8 + 2 + 8 + 40 + 576 = 666.

It is a nialpdrome in base 12.

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 23 ways as a sum of consecutive naturals, for example, 19657645 + ... + 19657811.

Almost surely, 2^3282840576 is an apocalyptic number.

3282840576 is a gapful number since it is divisible by the number (36) 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 3282840576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007125760).

3282840576 is an abundant number, since it is smaller than the sum of its proper divisors (6731410944).

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

3282840576 is an equidigital number, since it uses as much as digits as its factorization.

3282840576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3282840576 is about 57296.0781903962. The cubic root of 3282840576 is about 1486.2205575844.

The spelling of 3282840576 in words is "three billion, two hundred eighty-two million, eight hundred forty thousand, five hundred seventy-six".