344772 has 36 divisors (see below), whose sum is σ = 891436. Its totient is φ = 112320.

The previous prime is 344759. The next prime is 344791. The reversal of 344772 is 277443.

344772 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 298116 = 216^2 + 546^2 .

It is a tau number, because it is divible by the number of its divisors (36).

344772 is an undulating number in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 344772.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2118 + ... + 2274.

2³⁴⁴⁷⁷² 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 344772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445718).

344772 is an abundant number, since it is smaller than the sum of its proper divisors (546664).

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

344772 is a wasteful number, since it uses less digits than its factorization.

344772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 223 counting only the distinct ones).

The product of its digits is 4704, while the sum is 27.

The square root of 344772 is about 587.1728876575. The cubic root of 344772 is about 70.1203372270.

The spelling of 344772 in words is "three hundred forty-four thousand, seven hundred seventy-two", and thus it is an iban number.