3968000 has 88 divisors (see below), whose sum is σ = 10218624. Its totient is φ = 1536000.

The previous prime is 3967993. The next prime is 3968009. The reversal of 3968000 is 8693.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3968009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127985 + ... + 128015.

Almost surely, 2^3968000 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 3968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109312).

3968000 is an abundant number, since it is smaller than the sum of its proper divisors (6250624).

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

3968000 is an equidigital number, since it uses as much as digits as its factorization.

3968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 3968000 is about 1991.9839356782. The cubic root of 3968000 is about 158.3156643872.

The spelling of 3968000 in words is "three million, nine hundred sixty-eight thousand".