3688300 has 72 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 1147200.

The previous prime is 3688277. The next prime is 3688301. The reversal of 3688300 is 38863.

3688300 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 (28).

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 23 ways as a sum of consecutive naturals, for example, 7461 + ... + 7939.

It is an arithmetic number, because the mean of its divisors is an integer number (138880).

Almost surely, 2^3688300 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 3688300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

3688300 is an abundant number, since it is smaller than the sum of its proper divisors (6311060).

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

3688300 is a wasteful number, since it uses less digits than its factorization.

3688300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3688300 is about 1920.4947279282. The cubic root of 3688300 is about 154.5048367620.

It can be divided in two parts, 368 and 8300, that added together give a palindrome (8668).

The spelling of 3688300 in words is "three million, six hundred eighty-eight thousand, three hundred".