3282444290080 has 288 divisors, whose sum is σ = 8583378596352. Its totient is φ = 1184649216000.

The previous prime is 3282444290077. The next prime is 3282444290123. The reversal of 3282444290080 is 800924442823.

It is a self number, because there is not a number n which added to its sum of digits gives 3282444290080.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153367380 + ... + 153388780.

It is an arithmetic number, because the mean of its divisors is an integer number (29803397904).

Almost surely, 2^{3282444290080} 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 3282444290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291689298176).

3282444290080 is an abundant number, since it is smaller than the sum of its proper divisors (5300934306272).

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

3282444290080 is a wasteful number, since it uses less digits than its factorization.

3282444290080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21588 (or 21563 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 3282444290080 in words is "three trillion, two hundred eighty-two billion, four hundred forty-four million, two hundred ninety thousand, eighty".