3688000 has 56 divisors (see below), whose sum is σ = 9153144. Its totient is φ = 1472000.

The previous prime is 3687989. The next prime is 3688001. The reversal of 3688000 is 8863.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 3356224 = 576^2 + 1832^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3688001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7770 + ... + 8230.

It is an arithmetic number, because the mean of its divisors is an integer number (163449).

Almost surely, 2^3688000 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 3688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576572).

3688000 is an abundant number, since it is smaller than the sum of its proper divisors (5465144).

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

3688000 is an equidigital number, since it uses as much as digits as its factorization.

3688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 3688000 is about 1920.4166214652. The cubic root of 3688000 is about 154.5006475956.

The spelling of 3688000 in words is "three million, six hundred eighty-eight thousand".