3808288 has 48 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 1670400.

The previous prime is 3808283. The next prime is 3808307. The reversal of 3808288 is 8828083.

It is not an unprimeable number, because it can be changed into a prime (3808283) 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, 10738 + ... + 11086.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 2^3808288 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 3808288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

3808288 is an abundant number, since it is smaller than the sum of its proper divisors (4658912).

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

3808288 is a wasteful number, since it uses less digits than its factorization.

3808288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 3808288 is about 1951.4835382344. The cubic root of 3808288 is about 156.1624431054.

It can be divided in two parts, 3808 and 288, that added together give a 12-th power (4096 = 2¹²).

The spelling of 3808288 in words is "three million, eight hundred eight thousand, two hundred eighty-eight".