3882208 has 48 divisors (see below), whose sum is σ = 8573040. Its totient is φ = 1715200.

The previous prime is 3882191. The next prime is 3882227. The reversal of 3882208 is 8022883.

It is a self number, because there is not a number n which added to its sum of digits gives 3882208.

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, 14298 + ... + 14566.

It is an arithmetic number, because the mean of its divisors is an integer number (178605).

Almost surely, 2^3882208 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 3882208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286520).

3882208 is an abundant number, since it is smaller than the sum of its proper divisors (4690832).

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

3882208 is a wasteful number, since it uses less digits than its factorization.

3882208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 3882208 is about 1970.3319517279. The cubic root of 3882208 is about 157.1663618521.

The spelling of 3882208 in words is "three million, eight hundred eighty-two thousand, two hundred eight".