3968328 has 128 divisors (see below), whose sum is σ = 12902400. Its totient is φ = 988416.

The previous prime is 3968323. The next prime is 3968329. The reversal of 3968328 is 8238693.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 50193 + ... + 50271.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

Almost surely, 2^3968328 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 3968328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451200).

3968328 is an abundant number, since it is smaller than the sum of its proper divisors (8934072).

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

3968328 is a wasteful number, since it uses less digits than its factorization.

3968328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 3968328 is about 1992.0662639581. The cubic root of 3968328 is about 158.3200264594.

The spelling of 3968328 in words is "three million, nine hundred sixty-eight thousand, three hundred twenty-eight".