3728304 has 60 divisors (see below), whose sum is σ = 11055096. Its totient is φ = 1168896.

The previous prime is 3728303. The next prime is 3728311. The reversal of 3728304 is 4038273.

3728304 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3728303) 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 11 ways as a sum of consecutive naturals, for example, 1687 + ... + 3209.

Almost surely, 2^3728304 is an apocalyptic number.

3728304 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 3728304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527548).

3728304 is an abundant number, since it is smaller than the sum of its proper divisors (7326792).

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

3728304 is a wasteful number, since it uses less digits than its factorization.

3728304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3728304 is about 1930.8816639038. The cubic root of 3728304 is about 155.0614255328.

The spelling of 3728304 in words is "three million, seven hundred twenty-eight thousand, three hundred four".