3688538382 has 96 divisors (see below), whose sum is σ = 8918994240. Its totient is φ = 1095705600.

The previous prime is 3688538369. The next prime is 3688538389. The reversal of 3688538382 is 2838358863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688538389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708244 + ... + 713432.

It is an arithmetic number, because the mean of its divisors is an integer number (92906190).

Almost surely, 2^3688538382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3688538382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459497120).

3688538382 is an abundant number, since it is smaller than the sum of its proper divisors (5230455858).

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

3688538382 is a wasteful number, since it uses less digits than its factorization.

3688538382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5335 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 3688538382 is about 60733.3383077203. The cubic root of 3688538382 is about 1545.0816533965.

The spelling of 3688538382 in words is "three billion, six hundred eighty-eight million, five hundred thirty-eight thousand, three hundred eighty-two".