13829704 has 64 divisors (see below), whose sum is σ = 31968000. Its totient is φ = 5474304.

The previous prime is 13829677. The next prime is 13829713. The reversal of 13829704 is 40792831.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 13829704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69397 + ... + 69595.

It is an arithmetic number, because the mean of its divisors is an integer number (499500).

Almost surely, 2^13829704 is an apocalyptic number.

13829704 is a gapful number since it is divisible by the number (14) 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 13829704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15984000).

13829704 is an abundant number, since it is smaller than the sum of its proper divisors (18138296).

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

13829704 is a wasteful number, since it uses less digits than its factorization.

13829704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 13829704 is about 3718.8309991179. The cubic root of 13829704 is about 240.0330047203.

The spelling of 13829704 in words is "thirteen million, eight hundred twenty-nine thousand, seven hundred four".