3968320 has 28 divisors (see below), whose sum is σ = 9450324. Its totient is φ = 1587200.

The previous prime is 3968303. The next prime is 3968323. The reversal of 3968320 is 238693.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1459264 + 2509056 = 1208^2 + 1584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5881 + ... + 6520.

Almost surely, 2^3968320 is an apocalyptic number.

It is an amenable number.

3968320 is an abundant number, since it is smaller than the sum of its proper divisors (5482004).

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

3968320 is a wasteful number, since it uses less digits than its factorization.

3968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12418 (or 12408 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 3968320 is about 1992.0642559918. The cubic root of 3968320 is about 158.3199200702.

The spelling of 3968320 in words is "three million, nine hundred sixty-eight thousand, three hundred twenty".