3113027398000 has 640 divisors, whose sum is σ = 8547706911744. Its totient is φ = 1088994816000.

The previous prime is 3113027397989. The next prime is 3113027398007. The reversal of 3113027398000 is 8937203113.

3113027398000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113027398007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6340177755 + ... + 6340178245.

Almost surely, 2^{3113027398000} 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 3113027398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273853455872).

3113027398000 is an abundant number, since it is smaller than the sum of its proper divisors (5434679513744).

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

3113027398000 is a wasteful number, since it uses less digits than its factorization.

3113027398000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 3113027398000 in words is "three trillion, one hundred thirteen billion, twenty-seven million, three hundred ninety-eight thousand".