3644000 has 48 divisors (see below), whose sum is σ = 8963136. Its totient is φ = 1456000.

The previous prime is 3643973. The next prime is 3644021. The reversal of 3644000 is 4463.

3644000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3644000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3545 + ... + 4455.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

Almost surely, 2^3644000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568).

3644000 is an abundant number, since it is smaller than the sum of its proper divisors (5319136).

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

3644000 is an equidigital number, since it uses as much as digits as its factorization.

3644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3644000 is about 1908.9263998384. The cubic root of 3644000 is about 153.8837600376.

Adding to 3644000 its reverse (4463), we get a palindrome (3648463).

The spelling of 3644000 in words is "three million, six hundred forty-four thousand".