3191793960096 has 288 divisors, whose sum is σ = 11002118295168. Its totient is φ = 856844697600.

The previous prime is 3191793960073. The next prime is 3191793960101. The reversal of 3191793960096 is 6900693971913.

3191793960096 is a `hidden beast` number, since 3 + 1 + 9 + 17 + 9 + 3 + 9 + 600 + 9 + 6 = 666.

3191793960096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20244771 + ... + 20401821.

It is an arithmetic number, because the mean of its divisors is an integer number (38201799636).

Almost surely, 2^{3191793960096} is an apocalyptic number.

3191793960096 is a gapful number since it is divisible by the number (36) 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 3191793960096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501059147584).

3191793960096 is an abundant number, since it is smaller than the sum of its proper divisors (7810324335072).

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

3191793960096 is a wasteful number, since it uses less digits than its factorization.

3191793960096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157684 (or 157673 counting only the distinct ones).

The product of its (nonzero) digits is 14880348, while the sum is 63.

It can be divided in two parts, 319179 and 3960096, that added together give a triangular number (4279275 = T₂₉₂₅).

The spelling of 3191793960096 in words is "three trillion, one hundred ninety-one billion, seven hundred ninety-three million, nine hundred sixty thousand, ninety-six".