13726343800 has 96 divisors (see below), whose sum is σ = 35553974400. Its totient is φ = 4893396480.

The previous prime is 13726343783. The next prime is 13726343821. The reversal of 13726343800 is 834362731.

It is a self number, because there is not a number n which added to its sum of digits gives 13726343800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15624 + ... + 166423.

It is an arithmetic number, because the mean of its divisors is an integer number (370353900).

Almost surely, 2^13726343800 is an apocalyptic number.

13726343800 is a gapful number since it is divisible by the number (10) 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 13726343800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776987200).

13726343800 is an abundant number, since it is smaller than the sum of its proper divisors (21827630600).

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

13726343800 is a wasteful number, since it uses less digits than its factorization.

13726343800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182105 (or 182096 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 13726343800 in words is "thirteen billion, seven hundred twenty-six million, three hundred forty-three thousand, eight hundred".