3968960 has 56 divisors (see below), whose sum is σ = 9631680. Its totient is φ = 1557504.

The previous prime is 3968957. The next prime is 3968981. The reversal of 3968960 is 698693.

3968960 is nontrivially palindromic in base 3.

3968960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25202 + ... + 25358.

Almost surely, 2^3968960 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 3968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815840).

3968960 is an abundant number, since it is smaller than the sum of its proper divisors (5662720).

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

3968960 is a wasteful number, since it uses less digits than its factorization.

3968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 3968960 is about 1992.2248869041. The cubic root of 3968960 is about 158.3284307500.

The spelling of 3968960 in words is "three million, nine hundred sixty-eight thousand, nine hundred sixty".