3116348200 has 192 divisors, whose sum is σ = 9150485760. Its totient is φ = 961720320.

The previous prime is 3116348171. The next prime is 3116348201. The reversal of 3116348200 is 28436113.

It is a super-2 number, since 2×3116348200² = 19423252207286480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3116348201) 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 47 ways as a sum of consecutive naturals, for example, 544554 + ... + 550246.

It is an arithmetic number, because the mean of its divisors is an integer number (47658780).

Almost surely, 2^3116348200 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 3116348200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575242880).

3116348200 is an abundant number, since it is smaller than the sum of its proper divisors (6034137560).

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

3116348200 is a wasteful number, since it uses less digits than its factorization.

3116348200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3116348200 is about 55824.2617506045. The cubic root of 3116348200 is about 1460.6583944858.

The spelling of 3116348200 in words is "three billion, one hundred sixteen million, three hundred forty-eight thousand, two hundred".