3116206230400 has 96 divisors (see below), whose sum is σ = 7705267021080. Its totient is φ = 1245306316800.

The previous prime is 3116206230373. The next prime is 3116206230443. The reversal of 3116206230400 is 40326026113.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2936287 + ... + 3854113.

Almost surely, 2^{3116206230400} 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 3116206230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852633510540).

3116206230400 is an abundant number, since it is smaller than the sum of its proper divisors (4589060790680).

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

3116206230400 is a wasteful number, since it uses less digits than its factorization.

3116206230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918912 (or 918895 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 3116206230400 in words is "three trillion, one hundred sixteen billion, two hundred six million, two hundred thirty thousand, four hundred".