13975344 has 120 divisors (see below), whose sum is σ = 41776592. Its totient is φ = 4354560.

The previous prime is 13975331. The next prime is 13975369. The reversal of 13975344 is 44357931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13975299 and 13975308.

It is an unprimeable number.

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, 229074 + ... + 229134.

Almost surely, 2^13975344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13975344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20888296).

13975344 is an abundant number, since it is smaller than the sum of its proper divisors (27801248).

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

13975344 is a wasteful number, since it uses less digits than its factorization.

13975344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 146 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 13975344 is about 3738.3611382530. The cubic root of 13975344 is about 240.8726564489.

The spelling of 13975344 in words is "thirteen million, nine hundred seventy-five thousand, three hundred forty-four".