3585816 has 64 divisors (see below), whose sum is σ = 10735200. Its totient is φ = 1102464.

The previous prime is 3585809. The next prime is 3585817. The reversal of 3585816 is 6185853.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3585817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2170 + ... + 3446.

Almost surely, 2^3585816 is an apocalyptic number.

3585816 is a gapful number since it is divisible by the number (36) 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 3585816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367600).

3585816 is an abundant number, since it is smaller than the sum of its proper divisors (7149384).

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

3585816 is a wasteful number, since it uses less digits than its factorization.

3585816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1295 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 3585816 is about 1893.6250948907. The cubic root of 3585816 is about 153.0603376014.

The spelling of 3585816 in words is "three million, five hundred eighty-five thousand, eight hundred sixteen".