3988008 has 64 divisors (see below), whose sum is σ = 11400000. Its totient is φ = 1290816.

The previous prime is 3988007. The next prime is 3988021. The reversal of 3988008 is 8008893.

3988008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1997²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3988003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7743 + ... + 8241.

It is an arithmetic number, because the mean of its divisors is an integer number (178125).

Almost surely, 2^3988008 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 3988008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700000).

3988008 is an abundant number, since it is smaller than the sum of its proper divisors (7411992).

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

3988008 is a wasteful number, since it uses less digits than its factorization.

3988008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3988008 is about 1996.9997496244. Note that the first 3 decimals coincide. The cubic root of 3988008 is about 158.5813121253.

The spelling of 3988008 in words is "three million, nine hundred eighty-eight thousand, eight".