3398992084800 has 756 divisors, whose sum is σ = 13107589422564. Its totient is φ = 835013836800.

The previous prime is 3398992084771. The next prime is 3398992084819. The reversal of 3398992084800 is 84802998933.

3398992084800 is a `hidden beast` number, since 3 + 398 + 9 + 92 + 0 + 84 + 80 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 3395351651904 + 3640432896 = 1842648^2 + 60336^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1608608544 + ... + 1608610656.

Almost surely, 2^{3398992084800} is an apocalyptic number.

3398992084800 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 3398992084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553794711282).

3398992084800 is an abundant number, since it is smaller than the sum of its proper divisors (9708597337764).

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

3398992084800 is a wasteful number, since it uses less digits than its factorization.

3398992084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 3398992084800 in words is "three trillion, three hundred ninety-eight billion, nine hundred ninety-two million, eighty-four thousand, eight hundred".