3688516314 has 96 divisors (see below), whose sum is σ = 9354369024. Its totient is φ = 1028674080.

The previous prime is 3688516297. The next prime is 3688516331. The reversal of 3688516314 is 4136158863.

3688516314 is a `hidden beast` number, since 3 + 6 + 8 + 8 + 5 + 1 + 631 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3688516297) and next prime (3688516331).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3688516314.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 919437 + ... + 923439.

It is an arithmetic number, because the mean of its divisors is an integer number (97441344).

Almost surely, 2^3688516314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3688516314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677184512).

3688516314 is an abundant number, since it is smaller than the sum of its proper divisors (5665852710).

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

3688516314 is a wasteful number, since it uses less digits than its factorization.

3688516314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4189 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 3688516314 is about 60733.1566279903. The cubic root of 3688516314 is about 1545.0785720559.

The spelling of 3688516314 in words is "three billion, six hundred eighty-eight million, five hundred sixteen thousand, three hundred fourteen".