3968008 has 32 divisors (see below), whose sum is σ = 8249760. Its totient is φ = 1774080.

The previous prime is 3967993. The next prime is 3968009. The reversal of 3968008 is 8008693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968009) 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, 5560 + ... + 6232.

It is an arithmetic number, because the mean of its divisors is an integer number (257805).

Almost surely, 2^3968008 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 3968008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124880).

3968008 is an abundant number, since it is smaller than the sum of its proper divisors (4281752).

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

3968008 is a wasteful number, since it uses less digits than its factorization.

3968008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 3968008 is about 1991.9859437255. The cubic root of 3968008 is about 158.3157707821.

The spelling of 3968008 in words is "three million, nine hundred sixty-eight thousand, eight".