3968384 has 64 divisors (see below), whose sum is σ = 9335040. Its totient is φ = 1645056.

The previous prime is 3968381. The next prime is 3968387. The reversal of 3968384 is 4838693.

It is an interprime number because it is at equal distance from previous prime (3968381) and next prime (3968387).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38477 + ... + 38579.

It is an arithmetic number, because the mean of its divisors is an integer number (145860).

Almost surely, 2^3968384 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 3968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667520).

3968384 is an abundant number, since it is smaller than the sum of its proper divisors (5366656).

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

3968384 is a wasteful number, since it uses less digits than its factorization.

3968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 3968384 is about 1992.0803196659. The cubic root of 3968384 is about 158.3207711794.

The spelling of 3968384 in words is "three million, nine hundred sixty-eight thousand, three hundred eighty-four".