3688320013 has 6 divisors (see below), whose sum is σ = 4290494766. Its totient is φ = 3161417112.

The previous prime is 3688320007. The next prime is 3688320019. The reversal of 3688320013 is 3100238863.

It is an interprime number because it is at equal distance from previous prime (3688320007) and next prime (3688320019).

It can be written as a sum of positive squares in only one way, i.e., 2586943044 + 1101376969 = 50862^2 + 33187^2 .

It is not a de Polignac number, because 3688320013 - 2²¹ = 3686222861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688320019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37635870 + ... + 37635967.

It is an arithmetic number, because the mean of its divisors is an integer number (715082461).

Almost surely, 2^3688320013 is an apocalyptic number.

It is an amenable number.

3688320013 is a deficient number, since it is larger than the sum of its proper divisors (602174753).

3688320013 is an equidigital number, since it uses as much as digits as its factorization.

3688320013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75271851 (or 75271844 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3688320013 is about 60731.5405123236. The cubic root of 3688320013 is about 1545.0511621324.

Adding to 3688320013 its reverse (3100238863), we get a palindrome (6788558876).

The spelling of 3688320013 in words is "three billion, six hundred eighty-eight million, three hundred twenty thousand, thirteen".