3115689984000 has 1440 divisors, whose sum is σ = 12452474990592. Its totient is φ = 749371392000.

The previous prime is 3115689983993. The next prime is 3115689984019. The reversal of 3115689984000 is 4899865113.

3115689984000 is a `hidden beast` number, since 3 + 1 + 156 + 89 + 9 + 8 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24532991937 + ... + 24532992063.

Almost surely, 2^{3115689984000} is an apocalyptic number.

3115689984000 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 3115689984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6226237495296).

3115689984000 is an abundant number, since it is smaller than the sum of its proper divisors (9336785006592).

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

3115689984000 is an equidigital number, since it uses as much as digits as its factorization.

3115689984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 3115689984000 in words is "three trillion, one hundred fifteen billion, six hundred eighty-nine million, nine hundred eighty-four thousand".