3814304 has 48 divisors (see below), whose sum is σ = 8287272. Its totient is φ = 1717248.

The previous prime is 3814301. The next prime is 3814309. The reversal of 3814304 is 4034183.

It can be written as a sum of positive squares in 4 ways, for example, as 3610000 + 204304 = 1900^2 + 452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3814304.

It is not an unprimeable number, because it can be changed into a prime (3814301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21962 + ... + 22134.

Almost surely, 2^3814304 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 3814304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143636).

3814304 is an abundant number, since it is smaller than the sum of its proper divisors (4472968).

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

3814304 is a wasteful number, since it uses less digits than its factorization.

3814304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3814304 is about 1953.0243214051. The cubic root of 3814304 is about 156.2446304288.

Adding to 3814304 its reverse (4034183), we get a palindrome (7848487).

The spelling of 3814304 in words is "three million, eight hundred fourteen thousand, three hundred four".