3282892800 has 576 divisors, whose sum is σ = 12430454400. Its totient is φ = 756940800.

The previous prime is 3282892799. The next prime is 3282892813. The reversal of 3282892800 is 82982823.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 48998367 + ... + 48998433.

It is an arithmetic number, because the mean of its divisors is an integer number (21580650).

Almost surely, 2^3282892800 is an apocalyptic number.

3282892800 is a gapful number since it is divisible by the number (30) 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 3282892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215227200).

3282892800 is an abundant number, since it is smaller than the sum of its proper divisors (9147561600).

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

3282892800 is a wasteful number, since it uses less digits than its factorization.

3282892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 3282892800 is about 57296.5339265823. The cubic root of 3282892800 is about 1486.2284385612.

The spelling of 3282892800 in words is "three billion, two hundred eighty-two million, eight hundred ninety-two thousand, eight hundred".