3379584 has 64 divisors (see below), whose sum is σ = 9681840. Its totient is φ = 1038336.

The previous prime is 3379559. The next prime is 3379603. The reversal of 3379584 is 4859733.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3379584² = 22843176026112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4654 + ... + 5330.

Almost surely, 2^3379584 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 3379584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840920).

3379584 is an abundant number, since it is smaller than the sum of its proper divisors (6302256).

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

3379584 is a wasteful number, since it uses less digits than its factorization.

3379584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 695 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 3379584 is about 1838.3644905187. The cubic root of 3379584 is about 150.0678803882.

The spelling of 3379584 in words is "three million, three hundred seventy-nine thousand, five hundred eighty-four".