3393341804160 has 1024 divisors, whose sum is σ = 15042110054400. Its totient is φ = 702356520960.

The previous prime is 3393341804141. The next prime is 3393341804189. The reversal of 3393341804160 is 614081433933.

3393341804160 is a `hidden beast` number, since 33 + 93 + 3 + 41 + 80 + 416 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 349932432 + ... + 349942128.

It is an arithmetic number, because the mean of its divisors is an integer number (14689560600).

Almost surely, 2^{3393341804160} is an apocalyptic number.

3393341804160 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 3393341804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7521055027200).

3393341804160 is an abundant number, since it is smaller than the sum of its proper divisors (11648768250240).

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

3393341804160 is a wasteful number, since it uses less digits than its factorization.

3393341804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3393341804160 in words is "three trillion, three hundred ninety-three billion, three hundred forty-one million, eight hundred four thousand, one hundred sixty".