3398968800 has 432 divisors, whose sum is σ = 12467014560. Its totient is φ = 870912000.

The previous prime is 3398968799. The next prime is 3398968823. The reversal of 3398968800 is 88698933.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31183146 + ... + 31183254.

It is an arithmetic number, because the mean of its divisors is an integer number (28858830).

Almost surely, 2^3398968800 is an apocalyptic number.

3398968800 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 3398968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233507280).

3398968800 is an abundant number, since it is smaller than the sum of its proper divisors (9068045760).

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

3398968800 is a wasteful number, since it uses less digits than its factorization.

3398968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3398968800 is about 58300.6758108343. The cubic root of 3398968800 is about 1503.5425602581.

The spelling of 3398968800 in words is "three billion, three hundred ninety-eight million, nine hundred sixty-eight thousand, eight hundred".