3113998113600 has 378 divisors, whose sum is σ = 12165532794870. Its totient is φ = 754908211200.

The previous prime is 3113998113547. The next prime is 3113998113661. The reversal of 3113998113600 is 63118993113.

It is a happy number.

3113998113600 is a `hidden beast` number, since 3 + 1 + 1 + 39 + 9 + 8 + 1 + 1 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 29085255936 + 3084912857664 = 170544^2 + 1756392^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 848806 + ... + 2635994.

Almost surely, 2^{3113998113600} is an apocalyptic number.

3113998113600 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 3113998113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082766397435).

3113998113600 is an abundant number, since it is smaller than the sum of its proper divisors (9051534681270).

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

3113998113600 is a wasteful number, since it uses less digits than its factorization.

3113998113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787239 (or 1787210 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 3113998113600 in words is "three trillion, one hundred thirteen billion, nine hundred ninety-eight million, one hundred thirteen thousand, six hundred".