3394398800 has 180 divisors, whose sum is σ = 8916254100. Its totient is φ = 1241210880.

The previous prime is 3394398739. The next prime is 3394398803. The reversal of 3394398800 is 88934933.

It can be written as a sum of positive squares in 18 ways, for example, as 3370034704 + 24364096 = 58052^2 + 4936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394398803) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 10072232 + ... + 10072568.

It is an arithmetic number, because the mean of its divisors is an integer number (49534745).

Almost surely, 2^3394398800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3394398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458127050).

3394398800 is an abundant number, since it is smaller than the sum of its proper divisors (5521855300).

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

3394398800 is a wasteful number, since it uses less digits than its factorization.

3394398800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The square root of 3394398800 is about 58261.4692571343. The cubic root of 3394398800 is about 1502.8684076250.

The spelling of 3394398800 in words is "three billion, three hundred ninety-four million, three hundred ninety-eight thousand, eight hundred".