3282882400 has 216 divisors, whose sum is σ = 9444473640. Its totient is φ = 1110896640.

The previous prime is 3282882349. The next prime is 3282882419. The reversal of 3282882400 is 42882823.

3282882400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3282882400.

It is a congruent number.

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, 3253096 + ... + 3254104.

It is an arithmetic number, because the mean of its divisors is an integer number (43724415).

Almost surely, 2^3282882400 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 3282882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722236820).

3282882400 is an abundant number, since it is smaller than the sum of its proper divisors (6161591240).

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

3282882400 is a wasteful number, since it uses less digits than its factorization.

3282882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 3282882400 is about 57296.4431705843. The cubic root of 3282882400 is about 1486.2268691331.

The spelling of 3282882400 in words is "three billion, two hundred eighty-two million, eight hundred eighty-two thousand, four hundred".