13829734336 has 56 divisors (see below), whose sum is σ = 29983486896. Its totient is φ = 6276741120.

The previous prime is 13829734333. The next prime is 13829734381. The reversal of 13829734336 is 63343792831.

13829734336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13829734336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13829734333) 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 7 ways as a sum of consecutive naturals, for example, 462100 + ... + 491116.

Almost surely, 2^13829734336 is an apocalyptic number.

13829734336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13829734336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14991743448).

13829734336 is an abundant number, since it is smaller than the sum of its proper divisors (16153752560).

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

13829734336 is a wasteful number, since it uses less digits than its factorization.

13829734336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29717 (or 29707 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 49.

The spelling of 13829734336 in words is "thirteen billion, eight hundred twenty-nine million, seven hundred thirty-four thousand, three hundred thirty-six".