3116357200 has 120 divisors (see below), whose sum is σ = 8597797920. Its totient is φ = 1073548800.

The previous prime is 3116357173. The next prime is 3116357207. The reversal of 3116357200 is 27536113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116357207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64962 + ... + 102238.

It is an arithmetic number, because the mean of its divisors is an integer number (71648316).

Almost surely, 2^3116357200 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 3116357200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298898960).

3116357200 is an abundant number, since it is smaller than the sum of its proper divisors (5481440720).

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

3116357200 is a wasteful number, since it uses less digits than its factorization.

3116357200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37325 (or 37314 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 3116357200 is about 55824.3423606584. The cubic root of 3116357200 is about 1460.6598006095.

The spelling of 3116357200 in words is "three billion, one hundred sixteen million, three hundred fifty-seven thousand, two hundred".