13724334 has 48 divisors (see below), whose sum is σ = 32432400. Its totient is φ = 4169088.

The previous prime is 13724323. The next prime is 13724339. The reversal of 13724334 is 43342731.

It is a junction number, because it is equal to n+sod(n) for n = 13724298 and 13724307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13724339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20497 + ... + 21155.

It is an arithmetic number, because the mean of its divisors is an integer number (675675).

Almost surely, 2^13724334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13724334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216200).

13724334 is an abundant number, since it is smaller than the sum of its proper divisors (18708066).

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

13724334 is a wasteful number, since it uses less digits than its factorization.

13724334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 766 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 13724334 is about 3704.6368243055. The cubic root of 13724334 is about 239.4218374855.

The spelling of 13724334 in words is "thirteen million, seven hundred twenty-four thousand, three hundred thirty-four".