3688445300 has 108 divisors (see below), whose sum is σ = 8556077376. Its totient is φ = 1379764800.

The previous prime is 3688445291. The next prime is 3688445309. The reversal of 3688445300 is 35448863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3688445291) and next prime (3688445309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688445309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2995685 + ... + 2996915.

Almost surely, 2^3688445300 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 3688445300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278038688).

3688445300 is an abundant number, since it is smaller than the sum of its proper divisors (4867632076).

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

3688445300 is a wasteful number, since it uses less digits than its factorization.

3688445300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The square root of 3688445300 is about 60732.5719857146. The cubic root of 3688445300 is about 1545.0686563333.

The spelling of 3688445300 in words is "three billion, six hundred eighty-eight million, four hundred forty-five thousand, three hundred".