3521683584 has 96 divisors (see below), whose sum is σ = 10214231040. Its totient is φ = 1164602880.

The previous prime is 3521683559. The next prime is 3521683589. The reversal of 3521683584 is 4853861253.

3521683584 is a `hidden beast` number, since 3 + 5 + 2 + 1 + 68 + 3 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3521683589) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 134269 + ... + 158339.

It is an arithmetic number, because the mean of its divisors is an integer number (106398240).

Almost surely, 2^3521683584 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 3521683584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107115520).

3521683584 is an abundant number, since it is smaller than the sum of its proper divisors (6692547456).

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

3521683584 is a wasteful number, since it uses less digits than its factorization.

3521683584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24218 (or 24203 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 3521683584 is about 59343.7746018906. The cubic root of 3521683584 is about 1521.4234679947.

The spelling of 3521683584 in words is "three billion, five hundred twenty-one million, six hundred eighty-three thousand, five hundred eighty-four".