3353206924320 has 576 divisors, whose sum is σ = 11711808517248. Its totient is φ = 805817548800.

The previous prime is 3353206924307. The next prime is 3353206924339. The reversal of 3353206924320 is 234296023533.

It is a super-2 number, since 2×3353206924320² (a number of 26 digits) contains 22 as substring.

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, 4134656715 + ... + 4134657525.

It is an arithmetic number, because the mean of its divisors is an integer number (20333000898).

Almost surely, 2^{3353206924320} is an apocalyptic number.

3353206924320 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 3353206924320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855904258624).

3353206924320 is an abundant number, since it is smaller than the sum of its proper divisors (8358601592928).

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

3353206924320 is a wasteful number, since it uses less digits than its factorization.

3353206924320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 42.

The spelling of 3353206924320 in words is "three trillion, three hundred fifty-three billion, two hundred six million, nine hundred twenty-four thousand, three hundred twenty".