13728680340 has 24 divisors (see below), whose sum is σ = 38440305120. Its totient is φ = 3660981408.

The previous prime is 13728680309. The next prime is 13728680341. The reversal of 13728680340 is 4308682731.

It is a junction number, because it is equal to n+sod(n) for n = 13728680292 and 13728680301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728680341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114405610 + ... + 114405729.

It is an arithmetic number, because the mean of its divisors is an integer number (1601679380).

Almost surely, 2^13728680340 is an apocalyptic number.

13728680340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13728680340 is an abundant number, since it is smaller than the sum of its proper divisors (24711624780).

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

13728680340 is a wasteful number, since it uses less digits than its factorization.

13728680340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228811351 (or 228811349 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 13728680340 in words is "thirteen billion, seven hundred twenty-eight million, six hundred eighty thousand, three hundred forty".