344688 has 40 divisors (see below), whose sum is σ = 916608. Its totient is φ = 111552.

The previous prime is 344683. The next prime is 344693. The reversal of 344688 is 886443.

It is an interprime number because it is at equal distance from previous prime (344683) and next prime (344693).

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

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1981 + ... + 2147.

2³⁴⁴⁶⁸⁸ 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 344688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458304).

344688 is an abundant number, since it is smaller than the sum of its proper divisors (571920).

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

344688 is a wasteful number, since it uses less digits than its factorization.

344688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 344688 is about 587.1013541119. The cubic root of 344688 is about 70.1146420751.

The spelling of 344688 in words is "three hundred forty-four thousand, six hundred eighty-eight".