3628585 has 8 divisors (see below), whose sum is σ = 4426056. Its totient is φ = 2855040.

The previous prime is 3628571. The next prime is 3628591. The reversal of 3628585 is 5858263.

It can be written as a sum of positive squares in 4 ways, for example, as 488601 + 3139984 = 699^2 + 1772^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3628585 - 2⁹ = 3628073 is a prime.

It is a d-powerful number, because it can be written as 3¹³ + 6⁶ + 2¹⁰ + 8² + 5⁴ + 8⁵ + 5⁹ .

It is a Duffinian 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 7 ways as a sum of consecutive naturals, for example, 5644 + ... + 6253.

It is an arithmetic number, because the mean of its divisors is an integer number (553257).

Almost surely, 2^3628585 is an apocalyptic number.

It is an amenable number.

3628585 is a deficient number, since it is larger than the sum of its proper divisors (797471).

3628585 is a wasteful number, since it uses less digits than its factorization.

3628585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11963.

The product of its digits is 57600, while the sum is 37.

The square root of 3628585 is about 1904.8845109350. The cubic root of 3628585 is about 153.6664648563. Note that the first 3 decimals are identical.

The spelling of 3628585 in words is "three million, six hundred twenty-eight thousand, five hundred eighty-five".