3688608 has 96 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 956160.

The previous prime is 3688591. The next prime is 3688613. The reversal of 3688608 is 8068863.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7143 + ... + 7641.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 2^3688608 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 3688608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

3688608 is an abundant number, since it is smaller than the sum of its proper divisors (8407392).

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

3688608 is a wasteful number, since it uses less digits than its factorization.

3688608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 3688608 is about 1920.5749139255. The cubic root of 3688608 is about 154.5091374033.

The spelling of 3688608 in words is "three million, six hundred eighty-eight thousand, six hundred eight".