344820 has 48 divisors (see below), whose sum is σ = 1104768. Its totient is φ = 78720.

The previous prime is 344819. The next prime is 344821. The reversal of 344820 is 28443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (344819) and next prime (344821).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 344820.

It is not an unprimeable number, because it can be changed into a prime (344821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (23016).

2³⁴⁴⁸²⁰ is an apocalyptic number.

344820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552384).

344820 is an abundant number, since it is smaller than the sum of its proper divisors (759948).

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

344820 is a wasteful number, since it uses less digits than its factorization.

344820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 344820 is about 587.2137600568. The cubic root of 344820 is about 70.1235911842.

The spelling of 344820 in words is "three hundred forty-four thousand, eight hundred twenty".