3808 has 24 divisors (see below), whose sum is σ = 9072. Its totient is φ = 1536.

The previous prime is 3803. The next prime is 3821. The reversal of 3808 is 8083.

3808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3803) by changing a digit.

3808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216 + ... + 232.

It is an arithmetic number, because the mean of its divisors is an integer number (378).

2³⁸⁰⁸ 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 3808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536).

3808 is an abundant number, since it is smaller than the sum of its proper divisors (5264).

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

3808 is a wasteful number, since it uses less digits than its factorization.

3808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 3808 is about 61.7089944822. The cubic root of 3808 is about 15.6158506436.

The spelling of 3808 in words is "three thousand, eight hundred eight".