3113818398720 has 1792 divisors, whose sum is σ = 12909279744000. Its totient is φ = 706316599296.

The previous prime is 3113818398689. The next prime is 3113818398721. The reversal of 3113818398720 is 278938183113.

It is a happy number.

3113818398720 is a `hidden beast` number, since 31 + 1 + 381 + 83 + 98 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3113818398721) 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, 8215879491 + ... + 8215879869.

Almost surely, 2^{3113818398720} is an apocalyptic number.

3113818398720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113818398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454639872000).

3113818398720 is an abundant number, since it is smaller than the sum of its proper divisors (9795461345280).

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

3113818398720 is a wasteful number, since it uses less digits than its factorization.

3113818398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 3113818398720 in words is "three trillion, one hundred thirteen billion, eight hundred eighteen million, three hundred ninety-eight thousand, seven hundred twenty".