3688668 has 36 divisors (see below), whose sum is σ = 9449440. Its totient is φ = 1213056.

The previous prime is 3688667. The next prime is 3688681. The reversal of 3688668 is 8668863.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3688668² = 27212543228448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2196 + ... + 3492.

Almost surely, 2^3688668 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 3688668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724720).

3688668 is an abundant number, since it is smaller than the sum of its proper divisors (5760772).

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

3688668 is a wasteful number, since it uses less digits than its factorization.

3688668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1381 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 3688668 is about 1920.5905341847. The cubic root of 3688668 is about 154.5099751627.

It can be divided in two parts, 3688 and 668, that added together give a square (4356 = 66²).

The spelling of 3688668 in words is "three million, six hundred eighty-eight thousand, six hundred sixty-eight".