3968448 has 56 divisors (see below), whose sum is σ = 11460480. Its totient is φ = 1201920.

The previous prime is 3968417. The next prime is 3968453. The reversal of 3968448 is 8448693.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1173 + ... + 3051.

Almost surely, 2^3968448 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 3968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730240).

3968448 is an abundant number, since it is smaller than the sum of its proper divisors (7492032).

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

3968448 is a wasteful number, since it uses less digits than its factorization.

3968448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1895 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 3968448 is about 1992.0963832104. The cubic root of 3968448 is about 158.3216222794.

The spelling of 3968448 in words is "three million, nine hundred sixty-eight thousand, four hundred forty-eight".