3585000 has 80 divisors (see below), whose sum is σ = 11246400. Its totient is φ = 952000.

The previous prime is 3584983. The next prime is 3585013. The reversal of 3585000 is 5853.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14881 + ... + 15119.

It is an arithmetic number, because the mean of its divisors is an integer number (140580).

Almost surely, 2^3585000 is an apocalyptic number.

3585000 is a gapful number since it is divisible by the number (30) 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 3585000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623200).

3585000 is an abundant number, since it is smaller than the sum of its proper divisors (7661400).

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

3585000 is a wasteful number, since it uses less digits than its factorization.

3585000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 3585000 is about 1893.4096228761. The cubic root of 3585000 is about 153.0487264172.

The spelling of 3585000 in words is "three million, five hundred eighty-five thousand".