3116824920000 has 2240 divisors, whose sum is σ = 13117441075200. Its totient is φ = 727833600000.

The previous prime is 3116824919993. The next prime is 3116824920023. The reversal of 3116824920000 is 294286113.

3116824920000 is a `hidden beast` number, since 3 + 1 + 168 + 2 + 492 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 39453479961 + ... + 39453480039.

It is an arithmetic number, because the mean of its divisors is an integer number (5856000480).

Almost surely, 2^{3116824920000} is an apocalyptic number.

3116824920000 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 3116824920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6558720537600).

3116824920000 is an abundant number, since it is smaller than the sum of its proper divisors (10000616155200).

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

3116824920000 is an frugal number, since it uses more digits than its factorization.

3116824920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 3116824920000 in words is "three trillion, one hundred sixteen billion, eight hundred twenty-four million, nine hundred twenty thousand".