3399200 has 72 divisors (see below), whose sum is σ = 9499392. Its totient is φ = 1163520.

The previous prime is 3399173. The next prime is 3399241. The reversal of 3399200 is 29933.

3399200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3399200.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5297 + ... + 5903.

It is an arithmetic number, because the mean of its divisors is an integer number (131936).

Almost surely, 2^3399200 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 3399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749696).

3399200 is an abundant number, since it is smaller than the sum of its proper divisors (6100192).

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

3399200 is a wasteful number, since it uses less digits than its factorization.

3399200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

The square root of 3399200 is about 1843.6919482386. The cubic root of 3399200 is about 150.3576650123.

The spelling of 3399200 in words is "three million, three hundred ninety-nine thousand, two hundred".