3585840 has 80 divisors (see below), whose sum is σ = 11332608. Its totient is φ = 937728.

The previous prime is 3585823. The next prime is 3585859. The reversal of 3585840 is 485853.

It is a happy number.

3585840 is digitally balanced in base 5, 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 (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15969 + ... + 16191.

Almost surely, 2^3585840 is an apocalyptic number.

3585840 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 3585840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5666304).

3585840 is an abundant number, since it is smaller than the sum of its proper divisors (7746768).

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

3585840 is a wasteful number, since it uses less digits than its factorization.

3585840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 3585840 is about 1893.6314319318. The cubic root of 3585840 is about 153.0606790801.

The spelling of 3585840 in words is "three million, five hundred eighty-five thousand, eight hundred forty".