13744000320 has 112 divisors (see below), whose sum is σ = 44701651008. Its totient is φ = 3575664640.

The previous prime is 13744000261. The next prime is 13744000349. The reversal of 13744000320 is 2300044731.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 135234 + ... + 213953.

It is an arithmetic number, because the mean of its divisors is an integer number (399121884).

Almost surely, 2^13744000320 is an apocalyptic number.

13744000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13744000320 is an abundant number, since it is smaller than the sum of its proper divisors (30957650688).

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

13744000320 is a wasteful number, since it uses less digits than its factorization.

13744000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349248 (or 349238 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The spelling of 13744000320 in words is "thirteen billion, seven hundred forty-four million, three hundred twenty", and thus it is an aban number.