13384037736 has 96 divisors (see below), whose sum is σ = 36676224000. Its totient is φ = 4409009280.

The previous prime is 13384037731. The next prime is 13384037753. The reversal of 13384037736 is 63773048331.

It is a super-2 number, since 2×13384037736² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13384037691 and 13384037700.

It is not an unprimeable number, because it can be changed into a prime (13384037731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2155965 + ... + 2162163.

It is an arithmetic number, because the mean of its divisors is an integer number (382044000).

Almost surely, 2^13384037736 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 13384037736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338112000).

13384037736 is an abundant number, since it is smaller than the sum of its proper divisors (23292186264).

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

13384037736 is a wasteful number, since it uses less digits than its factorization.

13384037736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6559 (or 6552 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 13384037736 in words is "thirteen billion, three hundred eighty-four million, thirty-seven thousand, seven hundred thirty-six".