3288450866688 has 720 divisors, whose sum is σ = 11027074378320. Its totient is φ = 976759160832.

The previous prime is 3288450866671. The next prime is 3288450866791. The reversal of 3288450866688 is 8866680548823.

3288450866688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 71 ways as a sum of consecutive naturals, for example, 609760120 + ... + 609765512.

It is an arithmetic number, because the mean of its divisors is an integer number (15315381081).

Almost surely, 2^{3288450866688} 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 3288450866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513537189160).

3288450866688 is an abundant number, since it is smaller than the sum of its proper divisors (7738623511632).

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

3288450866688 is an equidigital number, since it uses as much as digits as its factorization.

3288450866688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 849346560, while the sum is 72.

The spelling of 3288450866688 in words is "three trillion, two hundred eighty-eight billion, four hundred fifty million, eight hundred sixty-six thousand, six hundred eighty-eight".