3783808 has 64 divisors (see below), whose sum is σ = 8910720. Its totient is φ = 1566720.

The previous prime is 3783797. The next prime is 3783821. The reversal of 3783808 is 8083873.

3783808 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 36685 + ... + 36787.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 2^3783808 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 3783808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455360).

3783808 is an abundant number, since it is smaller than the sum of its proper divisors (5126912).

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

3783808 is a wasteful number, since it uses less digits than its factorization.

3783808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 3783808 is about 1945.2012749328. The cubic root of 3783808 is about 155.8271150699.

It can be divided in two parts, 378 and 3808, that added together give a triangular number (4186 = T₉₁).

The spelling of 3783808 in words is "three million, seven hundred eighty-three thousand, eight hundred eight".