3349163510784 has 1056 divisors, whose sum is σ = 12407657633280. Its totient is φ = 878691483648.

The previous prime is 3349163510687. The next prime is 3349163510839. The reversal of 3349163510784 is 4870153619433.

3349163510784 is a `hidden beast` number, since 3 + 3 + 49 + 1 + 6 + 3 + 510 + 7 + 84 = 666.

It is a super-2 number, since 2×3349163510784² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3349163510784.

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, 7993230127 + ... + 7993230545.

Almost surely, 2^{3349163510784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3349163510784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6203828816640).

3349163510784 is an abundant number, since it is smaller than the sum of its proper divisors (9058494122496).

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

3349163510784 is a wasteful number, since it uses less digits than its factorization.

3349163510784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3349163510784 in words is "three trillion, three hundred forty-nine billion, one hundred sixty-three million, five hundred ten thousand, seven hundred eighty-four".