3358960819200 has 1188 divisors, whose sum is σ = 14151631871520. Its totient is φ = 758908846080.

The previous prime is 3358960819133. The next prime is 3358960819213. The reversal of 3358960819200 is 29180698533.

3358960819200 is a `hidden beast` number, since 3 + 3 + 5 + 8 + 9 + 608 + 1 + 9 + 20 + 0 = 666.

It is a super-2 number, since 2×3358960819200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1004772729 + ... + 1004776071.

It is an arithmetic number, because the mean of its divisors is an integer number (11912148040).

Almost surely, 2^{3358960819200} is an apocalyptic number.

3358960819200 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 3358960819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7075815935760).

3358960819200 is an abundant number, since it is smaller than the sum of its proper divisors (10792671052320).

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

3358960819200 is a wasteful number, since it uses less digits than its factorization.

3358960819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 3358960819200 in words is "three trillion, three hundred fifty-eight billion, nine hundred sixty million, eight hundred nineteen thousand, two hundred".