3118800568320 has 800 divisors, whose sum is σ = 11886321637440. Its totient is φ = 782757789696.

The previous prime is 3118800568313. The next prime is 3118800568349. The reversal of 3118800568320 is 238650088113.

3118800568320 is a `hidden beast` number, since 3 + 1 + 1 + 8 + 80 + 0 + 568 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 19584 × 17280 × 9216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183458856952 + ... + 183458856968.

Almost surely, 2^{3118800568320} is an apocalyptic number.

3118800568320 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 3118800568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943160818720).

3118800568320 is an abundant number, since it is smaller than the sum of its proper divisors (8767521069120).

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

3118800568320 is an frugal number, since it uses more digits than its factorization.

3118800568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 3118800568320 in words is "three trillion, one hundred eighteen billion, eight hundred million, five hundred sixty-eight thousand, three hundred twenty".