3340584 has 96 divisors (see below), whose sum is σ = 10090080. Its totient is φ = 991872.

The previous prime is 3340577. The next prime is 3340609. The reversal of 3340584 is 4850433.

It is a happy number.

3340584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3340584² = 22319002922112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 40207 + ... + 40289.

It is an arithmetic number, because the mean of its divisors is an integer number (105105).

Almost surely, 2^3340584 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 3340584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045040).

3340584 is an abundant number, since it is smaller than the sum of its proper divisors (6749496).

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

3340584 is a wasteful number, since it uses less digits than its factorization.

3340584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3340584 is about 1827.7264565574. The cubic root of 3340584 is about 149.4883903543.

It can be divided in two parts, 33405 and 84, that added together give a square (33489 = 183²).

The spelling of 3340584 in words is "three million, three hundred forty thousand, five hundred eighty-four".