3282675984 has 200 divisors, whose sum is σ = 11044144320. Its totient is φ = 921860352.

The previous prime is 3282675973. The next prime is 3282676003. The reversal of 3282675984 is 4895762823.

3282675984 is a `hidden beast` number, since 3 + 28 + 26 + 7 + 598 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3282675984.

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 39 ways as a sum of consecutive naturals, for example, 532182 + ... + 538314.

Almost surely, 2^3282675984 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 3282675984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5522072160).

3282675984 is an abundant number, since it is smaller than the sum of its proper divisors (7761468336).

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

3282675984 is a wasteful number, since it uses less digits than its factorization.

3282675984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6219 (or 6204 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3282675984 is about 57294.6418437187. The cubic root of 3282675984 is about 1486.1957189224.

The spelling of 3282675984 in words is "three billion, two hundred eighty-two million, six hundred seventy-five thousand, nine hundred eighty-four".