13977344 has 36 divisors (see below), whose sum is σ = 28329840. Its totient is φ = 6881280.

The previous prime is 13977329. The next prime is 13977371. The reversal of 13977344 is 44377931.

It is a happy number.

It is a super-2 number, since 2×13977344² = 390732290588672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13977298 and 13977307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17792 + ... + 18560.

It is an arithmetic number, because the mean of its divisors is an integer number (786940).

Almost surely, 2^13977344 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 13977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14164920).

13977344 is an abundant number, since it is smaller than the sum of its proper divisors (14352496).

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

13977344 is an frugal number, since it uses more digits than its factorization.

13977344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 842 counting only the distinct ones).

The product of its digits is 63504, while the sum is 38.

The square root of 13977344 is about 3738.6286255792. The cubic root of 13977344 is about 240.8841462635.

The spelling of 13977344 in words is "thirteen million, nine hundred seventy-seven thousand, three hundred forty-four".