18349344 has 144 divisors (see below), whose sum is σ = 58476600. Its totient is φ = 5451264.

The previous prime is 18349339. The next prime is 18349361. The reversal of 18349344 is 44394381.

It can be written as a sum of positive squares in 4 ways, for example, as 810000 + 17539344 = 900^2 + 4188^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18349299 and 18349308.

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, 632722 + ... + 632750.

Almost surely, 2^18349344 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 18349344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29238300).

18349344 is an abundant number, since it is smaller than the sum of its proper divisors (40127256).

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

18349344 is a wasteful number, since it uses less digits than its factorization.

18349344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 47 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 18349344 is about 4283.6134279367. The cubic root of 18349344 is about 263.7587327432.

The spelling of 18349344 in words is "eighteen million, three hundred forty-nine thousand, three hundred forty-four".