3627664 has 20 divisors (see below), whose sum is σ = 7442604. Its totient is φ = 1707008.

The previous prime is 3627661. The next prime is 3627671. The reversal of 3627664 is 4667263.

3627664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 1690000 = 1392^2 + 1300^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (3627661) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6397 + ... + 6940.

Almost surely, 2^3627664 is an apocalyptic number.

3627664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3627664 is an abundant number, since it is smaller than the sum of its proper divisors (3814940).

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

3627664 is a wasteful number, since it uses less digits than its factorization.

3627664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13362 (or 13356 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 3627664 is about 1904.6427486539. The cubic root of 3627664 is about 153.6534626539.

The spelling of 3627664 in words is "three million, six hundred twenty-seven thousand, six hundred sixty-four".