3808224 has 72 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1087488.

The previous prime is 3808223. The next prime is 3808229. The reversal of 3808224 is 4228083.

3808224 is digitally balanced in base 2, 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3808223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1072 + ... + 2960.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 2^3808224 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 3808224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

3808224 is an abundant number, since it is smaller than the sum of its proper divisors (8575056).

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

3808224 is a wasteful number, since it uses less digits than its factorization.

3808224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3808224 is about 1951.4671403844. The cubic root of 3808224 is about 156.1615683071.

The spelling of 3808224 in words is "three million, eight hundred eight thousand, two hundred twenty-four".