3688100 has 36 divisors (see below), whose sum is σ = 8621844. Its totient is φ = 1361280.

The previous prime is 3688093. The next prime is 3688117. The reversal of 3688100 is 18863.

It can be written as a sum of positive squares in 6 ways, for example, as 1304164 + 2383936 = 1142^2 + 1544^2 .

It is a super-2 number, since 2×3688100² = 27204163220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3688100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119 + ... + 2718.

Almost surely, 2^3688100 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 3688100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310922).

3688100 is an abundant number, since it is smaller than the sum of its proper divisors (4933744).

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

3688100 is a wasteful number, since it uses less digits than its factorization.

3688100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 3688100 is about 1920.4426573059. The cubic root of 3688100 is about 154.5020440096.

The spelling of 3688100 in words is "three million, six hundred eighty-eight thousand, one hundred".