3381584 has 10 divisors (see below), whose sum is σ = 6551850. Its totient is φ = 1690784.

The previous prime is 3381569. The next prime is 3381613. The reversal of 3381584 is 4851833.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3341584 + 40000 = 1828^2 + 200^2 .

It is a super-2 number, since 2×3381584² = 22870220698112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3381584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105659 + ... + 105690.

It is an arithmetic number, because the mean of its divisors is an integer number (655185).

Almost surely, 2^3381584 is an apocalyptic number.

It is an amenable number.

3381584 is a deficient number, since it is larger than the sum of its proper divisors (3170266).

3381584 is a wasteful number, since it uses less digits than its factorization.

3381584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211357 (or 211351 counting only the distinct ones).

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

The square root of 3381584 is about 1838.9083718337. The cubic root of 3381584 is about 150.0974773814.

The spelling of 3381584 in words is "three million, three hundred eighty-one thousand, five hundred eighty-four".