3343785984000 has 3264 divisors, whose sum is σ = 16331488542720. Its totient is φ = 637009920000.

The previous prime is 3343785983977. The next prime is 3343785984001. The reversal of 3343785984000 is 4895873433.

3343785984000 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 7 + 8 + 598 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×3343785984000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343785984001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107864063985 + ... + 107864064015.

Almost surely, 2^{3343785984000} is an apocalyptic number.

3343785984000 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 3343785984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8165744271360).

3343785984000 is an abundant number, since it is smaller than the sum of its proper divisors (12987702558720).

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

3343785984000 is a wasteful number, since it uses less digits than its factorization.

3343785984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3343785984000 in words is "three trillion, three hundred forty-three billion, seven hundred eighty-five million, nine hundred eighty-four thousand".