3395584 has 26 divisors (see below), whose sum is σ = 6798530. Its totient is φ = 1695744.

The previous prime is 3395573. The next prime is 3395603. The reversal of 3395584 is 4855933.

3395584 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 2985984 + 409600 = 1728^2 + 640^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3682 + ... + 4510.

Almost surely, 2^3395584 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 3395584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399265).

3395584 is an abundant number, since it is smaller than the sum of its proper divisors (3402946).

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

3395584 is an frugal number, since it uses more digits than its factorization.

3395584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 831 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 3395584 is about 1842.7110462577. The cubic root of 3395584 is about 150.3043302844.

The spelling of 3395584 in words is "three million, three hundred ninety-five thousand, five hundred eighty-four".