3282782800 has 240 divisors, whose sum is σ = 8892555840. Its totient is φ = 1154560000.

The previous prime is 3282782753. The next prime is 3282782809. The reversal of 3282782800 is 82872823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282782809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32502750 + ... + 32502850.

It is an arithmetic number, because the mean of its divisors is an integer number (37052316).

Almost surely, 2^3282782800 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 3282782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446277920).

3282782800 is an abundant number, since it is smaller than the sum of its proper divisors (5609773040).

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

3282782800 is a wasteful number, since it uses less digits than its factorization.

3282782800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 3282782800 is about 57295.5740000918. The cubic root of 3282782800 is about 1486.2118386736.

The spelling of 3282782800 in words is "three billion, two hundred eighty-two million, seven hundred eighty-two thousand, eight hundred".