3648385 has 24 divisors (see below), whose sum is σ = 4963896. Its totient is φ = 2557440.

The previous prime is 3648343. The next prime is 3648391. The reversal of 3648385 is 5838463.

It can be written as a sum of positive squares in 12 ways, for example, as 795664 + 2852721 = 892^2 + 1689^2 .

It is not a de Polignac number, because 3648385 - 2⁹ = 3647873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

Its product of digits (69120) is a multiple of the sum of its prime divisors (96).

3648385 is a lucky 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, 88965 + ... + 89005.

It is an arithmetic number, because the mean of its divisors is an integer number (206829).

Almost surely, 2^3648385 is an apocalyptic number.

It is an amenable number.

3648385 is a deficient number, since it is larger than the sum of its proper divisors (1315511).

3648385 is a wasteful number, since it uses less digits than its factorization.

3648385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 96 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 3648385 is about 1910.0746058728. The cubic root of 3648385 is about 153.9454605318.

The spelling of 3648385 in words is "three million, six hundred forty-eight thousand, three hundred eighty-five".