3282800640 has 416 divisors, whose sum is σ = 12738643200. Its totient is φ = 704643072.

The previous prime is 3282800627. The next prime is 3282800683. The reversal of 3282800640 is 460082823.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7311136 + ... + 7311584.

Almost surely, 2^3282800640 is an apocalyptic number.

3282800640 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 3282800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369321600).

3282800640 is an abundant number, since it is smaller than the sum of its proper divisors (9455842560).

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

3282800640 is a wasteful number, since it uses less digits than its factorization.

3282800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3282800640 is about 57295.7296838080. The cubic root of 3282800640 is about 1486.2145308987.

The spelling of 3282800640 in words is "three billion, two hundred eighty-two million, eight hundred thousand, six hundred forty".