3304224 has 144 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 852480.

The previous prime is 3304219. The next prime is 3304237. The reversal of 3304224 is 4224033.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3304197 and 3304206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22102 + ... + 22250.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

Almost surely, 2^3304224 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 3304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

3304224 is an abundant number, since it is smaller than the sum of its proper divisors (8489376).

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

3304224 is a wasteful number, since it uses less digits than its factorization.

3304224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3304224 is about 1817.7524583947. The cubic root of 3304224 is about 148.9440505820.

Adding to 3304224 its reverse (4224033), we get a palindrome (7528257).

It can be divided in two parts, 330 and 4224, that added together give a palindrome (4554).

The spelling of 3304224 in words is "three million, three hundred four thousand, two hundred twenty-four".