3585645 has 24 divisors (see below), whose sum is σ = 7103616. Its totient is φ = 1639008.

The previous prime is 3585629. The next prime is 3585667. The reversal of 3585645 is 5465853.

3585645 is a `hidden beast` number, since 3 + 5 + 8 + 5 + 645 = 666.

It is not a de Polignac number, because 3585645 - 2⁴ = 3585629 is a prime.

It is a super-3 number, since 3×3585645³ (a number of 21 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5377 + ... + 6006.

It is an arithmetic number, because the mean of its divisors is an integer number (295984).

Almost surely, 2^3585645 is an apocalyptic number.

3585645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3585645 is a deficient number, since it is larger than the sum of its proper divisors (3517971).

3585645 is a wasteful number, since it uses less digits than its factorization.

3585645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11401 (or 11398 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 3585645 is about 1893.5799428596. The cubic root of 3585645 is about 153.0579045212.

It can be divided in two parts, 3585 and 645, that multiplied together give a triangular number (2312325 = T₂₁₅₀).

The spelling of 3585645 in words is "three million, five hundred eighty-five thousand, six hundred forty-five".