3688900 has 36 divisors (see below), whose sum is σ = 8229508. Its totient is φ = 1434240.

The previous prime is 3688897. The next prime is 3688903. The reversal of 3688900 is 98863.

It is an interprime number because it is at equal distance from previous prime (3688897) and next prime (3688903).

It can be written as a sum of positive squares in 6 ways, for example, as 295936 + 3392964 = 544^2 + 1842^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688903) 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, 3202 + ... + 4198.

Almost surely, 2^3688900 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 3688900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114754).

3688900 is an abundant number, since it is smaller than the sum of its proper divisors (4540608).

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

3688900 is a wasteful number, since it uses less digits than its factorization.

3688900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 3688900 is about 1920.6509313251. The cubic root of 3688900 is about 154.5132144135.

The spelling of 3688900 in words is "three million, six hundred eighty-eight thousand, nine hundred".