3288700898784 has 480 divisors, whose sum is σ = 11129941025280. Its totient is φ = 933170015232.

The previous prime is 3288700898761. The next prime is 3288700898843. The reversal of 3288700898784 is 4878980078823.

3288700898784 is a `hidden beast` number, since 328 + 8 + 70 + 0 + 89 + 87 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2272771149 + ... + 2272772595.

It is an arithmetic number, because the mean of its divisors is an integer number (23187377136).

Almost surely, 2^{3288700898784} 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 3288700898784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564970512640).

3288700898784 is an abundant number, since it is smaller than the sum of its proper divisors (7841240126496).

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

3288700898784 is a wasteful number, since it uses less digits than its factorization.

3288700898784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 3288700898784 in words is "three trillion, two hundred eighty-eight billion, seven hundred million, eight hundred ninety-eight thousand, seven hundred eighty-four".