3830304 has 48 divisors (see below), whose sum is σ = 10650528. Its totient is φ = 1201152.

The previous prime is 3830303. The next prime is 3830317. The reversal of 3830304 is 4030383.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3830303) 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, 459 + ... + 2805.

It is an arithmetic number, because the mean of its divisors is an integer number (221886).

Almost surely, 2^3830304 is an apocalyptic number.

3830304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3830304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5325264).

3830304 is an abundant number, since it is smaller than the sum of its proper divisors (6820224).

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

3830304 is a wasteful number, since it uses less digits than its factorization.

3830304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3830304 is about 1957.1162459088. The cubic root of 3830304 is about 156.4627940148.

Adding to 3830304 its reverse (4030383), we get a palindrome (7860687).

The spelling of 3830304 in words is "three million, eight hundred thirty thousand, three hundred four".