3487584 has 48 divisors (see below), whose sum is σ = 9697968. Its totient is φ = 1093632.

The previous prime is 3487529. The next prime is 3487597. The reversal of 3487584 is 4857843.

3487584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 564 + ... + 2700.

It is an arithmetic number, because the mean of its divisors is an integer number (202041).

Almost surely, 2^3487584 is an apocalyptic number.

3487584 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3487584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848984).

3487584 is an abundant number, since it is smaller than the sum of its proper divisors (6210384).

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

3487584 is a wasteful number, since it uses less digits than its factorization.

3487584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2159 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 3487584 is about 1867.5074297041. The cubic root of 3487584 is about 151.6497011709.

The spelling of 3487584 in words is "three million, four hundred eighty-seven thousand, five hundred eighty-four".