3282639264 has 192 divisors, whose sum is σ = 9879408000. Its totient is φ = 1059803136.

The previous prime is 3282639247. The next prime is 3282639301. The reversal of 3282639264 is 4629362823.

It is a happy number.

3282639264 is a `hidden beast` number, since 3 + 2 + 8 + 2 + 639 + 2 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5535352 + ... + 5535944.

It is an arithmetic number, because the mean of its divisors is an integer number (51455250).

Almost surely, 2^3282639264 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 3282639264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939704000).

3282639264 is an abundant number, since it is smaller than the sum of its proper divisors (6596768736).

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

3282639264 is a wasteful number, since it uses less digits than its factorization.

3282639264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 790 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 3282639264 is about 57294.3213940090. The cubic root of 3282639264 is about 1486.1901773754.

The spelling of 3282639264 in words is "three billion, two hundred eighty-two million, six hundred thirty-nine thousand, two hundred sixty-four".