3914304 has 112 divisors (see below), whose sum is σ = 11582400. Its totient is φ = 1161216.

The previous prime is 3914303. The next prime is 3914321. The reversal of 3914304 is 4034193.

3914304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3914303) 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 15 ways as a sum of consecutive naturals, for example, 105774 + ... + 105810.

Almost surely, 2^3914304 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 3914304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791200).

3914304 is an abundant number, since it is smaller than the sum of its proper divisors (7668096).

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

3914304 is a wasteful number, since it uses less digits than its factorization.

3914304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3914304 is about 1978.4600071773. The cubic root of 3914304 is about 157.5982959095.

Adding to 3914304 its reverse (4034193), we get a palindrome (7948497).

The spelling of 3914304 in words is "three million, nine hundred fourteen thousand, three hundred four".