3399447916800 has 648 divisors, whose sum is σ = 13573548153984. Its totient is φ = 836782202880.

The previous prime is 3399447916757. The next prime is 3399447916817. The reversal of 3399447916800 is 86197449933.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×3399447916800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20133529 + ... + 20301671.

Almost surely, 2^{3399447916800} is an apocalyptic number.

3399447916800 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 3399447916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786774076992).

3399447916800 is an abundant number, since it is smaller than the sum of its proper divisors (10174100237184).

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

3399447916800 is a wasteful number, since it uses less digits than its factorization.

3399447916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168197 (or 168166 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 3399447916800 in words is "three trillion, three hundred ninety-nine billion, four hundred forty-seven million, nine hundred sixteen thousand, eight hundred".