4008032 has 48 divisors (see below), whose sum is σ = 9344160. Its totient is φ = 1655808.

The previous prime is 4008029. The next prime is 4008077. The reversal of 4008032 is 2308004.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 4008032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6188 + ... + 6804.

It is an arithmetic number, because the mean of its divisors is an integer number (194670).

Almost surely, 2^4008032 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 4008032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672080).

4008032 is an abundant number, since it is smaller than the sum of its proper divisors (5336128).

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

4008032 is a wasteful number, since it uses less digits than its factorization.

4008032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4008032 is about 2002.0069929948. The cubic root of 4008032 is about 158.8462842031.

The spelling of 4008032 in words is "four million, eight thousand, thirty-two".