344400 has 120 divisors (see below), whose sum is σ = 1291584. Its totient is φ = 76800.

The previous prime is 344371. The next prime is 344417. The reversal of 344400 is 4443.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×344400² = 237222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 344400.

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 344400.

It is an unprimeable number.

344400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8380 + ... + 8420.

2³⁴⁴⁴⁰⁰ is an apocalyptic number.

344400 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 344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645792).

344400 is an abundant number, since it is smaller than the sum of its proper divisors (947184).

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

344400 is a wasteful number, since it uses less digits than its factorization.

344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 344400 is about 586.8560300448. The cubic root of 344400 is about 70.0951088126.

Adding to 344400 its reverse (4443), we get a palindrome (348843).

The spelling of 344400 in words is "three hundred forty-four thousand, four hundred", and thus it is an iban number.