3967008 has 72 divisors (see below), whose sum is σ = 11010384. Its totient is φ = 1249920.

The previous prime is 3966961. The next prime is 3967027. The reversal of 3967008 is 8007693.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3967008.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 92235 + ... + 92277.

It is an arithmetic number, because the mean of its divisors is an integer number (152922).

Almost surely, 2^3967008 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 3967008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505192).

3967008 is an abundant number, since it is smaller than the sum of its proper divisors (7043376).

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

3967008 is a wasteful number, since it uses less digits than its factorization.

3967008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 3967008 is about 1991.7349221219. The cubic root of 3967008 is about 158.3024703156.

The spelling of 3967008 in words is "three million, nine hundred sixty-seven thousand, eight".