3421584 has 30 divisors (see below), whose sum is σ = 9576086. Its totient is φ = 1140480.

The previous prime is 3421567. The next prime is 3421591. The reversal of 3421584 is 4851243.

It can be written as a sum of positive squares in only one way, i.e., 2985984 + 435600 = 1728^2 + 660^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11737 + ... + 12024.

Almost surely, 2^3421584 is an apocalyptic number.

It is an amenable number.

3421584 is an abundant number, since it is smaller than the sum of its proper divisors (6154502).

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

3421584 is a wasteful number, since it uses less digits than its factorization.

3421584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23775 (or 23766 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 3421584 is about 1849.7524158654. The cubic root of 3421584 is about 150.6869822329.

It can be divided in two parts, 3421 and 584, that added together give a triangular number (4005 = T₈₉).

The spelling of 3421584 in words is "three million, four hundred twenty-one thousand, five hundred eighty-four".