3813584 has 40 divisors (see below), whose sum is σ = 7922112. Its totient is φ = 1774080.

The previous prime is 3813581. The next prime is 3813599. The reversal of 3813584 is 4853183.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3813584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813581) 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, 15704 + ... + 15944.

Almost surely, 2^3813584 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 3813584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961056).

3813584 is an abundant number, since it is smaller than the sum of its proper divisors (4108528).

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

3813584 is a wasteful number, since it uses less digits than its factorization.

3813584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 3813584 is about 1952.8399832039. The cubic root of 3813584 is about 156.2347987345.

The spelling of 3813584 in words is "three million, eight hundred thirteen thousand, five hundred eighty-four".