3349719826992 has 160 divisors (see below), whose sum is σ = 11987453468160. Its totient is φ = 870057089280.

The previous prime is 3349719826969. The next prime is 3349719827033. The reversal of 3349719826992 is 2996289179433.

3349719826992 is a `hidden beast` number, since 3 + 3 + 4 + 97 + 198 + 269 + 92 = 666.

It is a super-2 number, since 2×3349719826992² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3349719826992.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 50317263 + ... + 50383790.

It is an arithmetic number, because the mean of its divisors is an integer number (74921584176).

Almost surely, 2^{3349719826992} is an apocalyptic number.

It is an amenable number.

3349719826992 is an abundant number, since it is smaller than the sum of its proper divisors (8637733641168).

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

3349719826992 is a wasteful number, since it uses less digits than its factorization.

3349719826992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100701088 (or 100701076 counting only the distinct ones).

The product of its digits is 317447424, while the sum is 72.

The spelling of 3349719826992 in words is "three trillion, three hundred forty-nine billion, seven hundred nineteen million, eight hundred twenty-six thousand, nine hundred ninety-two".