3644608 has 56 divisors (see below), whose sum is σ = 8193024. Its totient is φ = 1593600.

The previous prime is 3644593. The next prime is 3644617. The reversal of 3644608 is 8064463.

3644608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 3644608.

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, 21741 + ... + 21907.

It is an arithmetic number, because the mean of its divisors is an integer number (146304).

Almost surely, 2^3644608 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 3644608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096512).

3644608 is an abundant number, since it is smaller than the sum of its proper divisors (4548416).

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

3644608 is a wasteful number, since it uses less digits than its factorization.

3644608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 3644608 is about 1909.0856450144. The cubic root of 3644608 is about 153.8923180437.

It can be divided in two parts, 36 and 44608, that added together give a palindrome (44644).

The spelling of 3644608 in words is "three million, six hundred forty-four thousand, six hundred eight".