3398304 has 96 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 893952.

The previous prime is 3398267. The next prime is 3398309. The reversal of 3398304 is 4038933.

It is a happy number.

3398304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3398309) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8542 + ... + 8930.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 2^3398304 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 3398304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3398304 is an abundant number, since it is smaller than the sum of its proper divisors (7609056).

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

3398304 is a wasteful number, since it uses less digits than its factorization.

3398304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3398304 is about 1843.4489415224. The cubic root of 3398304 is about 150.3444528539.

The spelling of 3398304 in words is "three million, three hundred ninety-eight thousand, three hundred four".