3802304 has 42 divisors (see below), whose sum is σ = 8310372. Its totient is φ = 1724800.

The previous prime is 3802283. The next prime is 3802319. The reversal of 3802304 is 4032083.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7499 + ... + 7989.

It is an arithmetic number, because the mean of its divisors is an integer number (197866).

Almost surely, 2^3802304 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 3802304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155186).

3802304 is an abundant number, since it is smaller than the sum of its proper divisors (4508068).

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

3802304 is a wasteful number, since it uses less digits than its factorization.

3802304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3802304 is about 1949.9497429421. The cubic root of 3802304 is about 156.0806070383.

Adding to 3802304 its reverse (4032083), we get a palindrome (7834387).

The spelling of 3802304 in words is "three million, eight hundred two thousand, three hundred four".