3867584 has 56 divisors (see below), whose sum is σ = 8961120. Its totient is φ = 1622016.

The previous prime is 3867557. The next prime is 3867587. The reversal of 3867584 is 4857683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3867587) 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, 39824 + ... + 39920.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

Almost surely, 2^3867584 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 3867584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480560).

3867584 is an abundant number, since it is smaller than the sum of its proper divisors (5093536).

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

3867584 is an equidigital number, since it uses as much as digits as its factorization.

3867584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 3867584 is about 1966.6174005129. The cubic root of 3867584 is about 156.9687687211.

Subtracting 3867584 from its reverse (4857683), we obtain a palindrome (990099).

The spelling of 3867584 in words is "three million, eight hundred sixty-seven thousand, five hundred eighty-four".