3116608000 has 320 divisors, whose sum is σ = 8962462080. Its totient is φ = 1069056000.

The previous prime is 3116607983. The next prime is 3116608009. The reversal of 3116608000 is 8066113.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3116608009) 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 31 ways as a sum of consecutive naturals, for example, 13375884 + ... + 13376116.

It is an arithmetic number, because the mean of its divisors is an integer number (28007694).

Almost surely, 2^3116608000 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 3116608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481231040).

3116608000 is an abundant number, since it is smaller than the sum of its proper divisors (5845854080).

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

3116608000 is a wasteful number, since it uses less digits than its factorization.

3116608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 3116608000 is about 55826.5886473462. The cubic root of 3116608000 is about 1460.6989835002.

It can be divided in two parts, 3116 and 608000, that added together give a palindrome (611116).

The spelling of 3116608000 in words is "three billion, one hundred sixteen million, six hundred eight thousand".