4038008 has 32 divisors (see below), whose sum is σ = 8361360. Its totient is φ = 1816320.

The previous prime is 4038007. The next prime is 4038011. The reversal of 4038008 is 8008304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4038007) 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, 3791 + ... + 4737.

Almost surely, 2^4038008 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 4038008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180680).

4038008 is an abundant number, since it is smaller than the sum of its proper divisors (4323352).

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

4038008 is a wasteful number, since it uses less digits than its factorization.

4038008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4038008 is about 2009.4795346059. The cubic root of 4038008 is about 159.2413038962.

The spelling of 4038008 in words is "four million, thirty-eight thousand, eight".