3589632 has 120 divisors (see below), whose sum is σ = 11171160. Its totient is φ = 1105920.

The previous prime is 3589609. The next prime is 3589661. The reversal of 3589632 is 2369853.

3589632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87532 + ... + 87572.

It is an arithmetic number, because the mean of its divisors is an integer number (93093).

Almost surely, 2^3589632 is an apocalyptic number.

3589632 is a gapful number since it is divisible by the number (32) 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 3589632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585580).

3589632 is an abundant number, since it is smaller than the sum of its proper divisors (7581528).

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

3589632 is a wasteful number, since it uses less digits than its factorization.

3589632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3589632 is about 1894.6324181751. The cubic root of 3589632 is about 153.1146135951.

The spelling of 3589632 in words is "three million, five hundred eighty-nine thousand, six hundred thirty-two".