3308687872000 has 208 divisors, whose sum is σ = 9437126579712. Its totient is φ = 1134406041600.

The previous prime is 3308687871991. The next prime is 3308687872003. The reversal of 3308687872000 is 2787868033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3308687872003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3122409 + ... + 4045591.

It is an arithmetic number, because the mean of its divisors is an integer number (45370800864).

Almost surely, 2^{3308687872000} 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 3308687872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718563289856).

3308687872000 is an abundant number, since it is smaller than the sum of its proper divisors (6128438707712).

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

3308687872000 is an frugal number, since it uses more digits than its factorization.

3308687872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923229 (or 923197 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 3308687872000 in words is "three trillion, three hundred eight billion, six hundred eighty-seven million, eight hundred seventy-two thousand".