3688308 has 96 divisors (see below), whose sum is σ = 10725120. Its totient is φ = 1088640.

The previous prime is 3688301. The next prime is 3688309. The reversal of 3688308 is 8038863.

3688308 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688301) 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 31 ways as a sum of consecutive naturals, for example, 51913 + ... + 51983.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

Almost surely, 2^3688308 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 3688308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362560).

3688308 is an abundant number, since it is smaller than the sum of its proper divisors (7036812).

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

3688308 is a wasteful number, since it uses less digits than its factorization.

3688308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3688308 is about 1920.4968107237. The cubic root of 3688308 is about 154.5049484700.

The spelling of 3688308 in words is "three million, six hundred eighty-eight thousand, three hundred eight".