3349042324992 has 960 divisors, whose sum is σ = 12126589098624. Its totient is φ = 866333491200.

The previous prime is 3349042324973. The next prime is 3349042325047. The reversal of 3349042324992 is 2994232409433.

3349042324992 is a `hidden beast` number, since 3 + 3 + 4 + 90 + 423 + 2 + 49 + 92 = 666.

It is a super-2 number, since 2×3349042324992² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5572449492 + ... + 5572450092.

Almost surely, 2^{3349042324992} is an apocalyptic number.

3349042324992 is a gapful number since it is divisible by the number (32) 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 3349042324992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063294549312).

3349042324992 is an abundant number, since it is smaller than the sum of its proper divisors (8777546773632).

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

3349042324992 is a wasteful number, since it uses less digits than its factorization.

3349042324992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 3349042324992 in words is "three trillion, three hundred forty-nine billion, forty-two million, three hundred twenty-four thousand, nine hundred ninety-two".