3116379420000 has 3600 divisors, whose sum is σ = 15050988292032. Its totient is φ = 624879360000.

The previous prime is 3116379419983. The next prime is 3116379420001. The reversal of 3116379420000 is 249736113.

3116379420000 is a `hidden beast` number, since 3 + 1 + 163 + 79 + 420 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116379420001) by changing a digit.

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 599 ways as a sum of consecutive naturals, for example, 37546739959 + ... + 37546740041.

Almost surely, 2^{3116379420000} is an apocalyptic number.

3116379420000 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 3116379420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7525494146016).

3116379420000 is an abundant number, since it is smaller than the sum of its proper divisors (11934608872032).

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

3116379420000 is a wasteful number, since it uses less digits than its factorization.

3116379420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 3116379420000 in words is "three trillion, one hundred sixteen billion, three hundred seventy-nine million, four hundred twenty thousand".