3116080800 has 576 divisors, whose sum is σ = 13251651840. Its totient is φ = 691752960.

The previous prime is 3116080789. The next prime is 3116080817. The reversal of 3116080800 is 80806113.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5594122 + ... + 5594678.

It is an arithmetic number, because the mean of its divisors is an integer number (23006340).

Almost surely, 2^3116080800 is an apocalyptic number.

3116080800 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 3116080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625825920).

3116080800 is an abundant number, since it is smaller than the sum of its proper divisors (10135571040).

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

3116080800 is a wasteful number, since it uses less digits than its factorization.

3116080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 3116080800 is about 55821.8666832273. The cubic root of 3116080800 is about 1460.6166157540.

Adding to 3116080800 its reverse (80806113), we get a palindrome (3196886913).

The spelling of 3116080800 in words is "three billion, one hundred sixteen million, eighty thousand, eight hundred".