344122400 has 72 divisors (see below), whose sum is σ = 842852304. Its totient is φ = 137196800.

The previous prime is 344122369. The next prime is 344122409. The reversal of 344122400 is 4221443.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (344122409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353915 + ... + 354885.

It is an arithmetic number, because the mean of its divisors is an integer number (11706282).

Almost surely, 2^344122400 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 344122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421426152).

344122400 is an abundant number, since it is smaller than the sum of its proper divisors (498729904).

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

344122400 is a wasteful number, since it uses less digits than its factorization.

344122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 344122400 is about 18550.5363803853. The cubic root of 344122400 is about 700.7627060838.

Adding to 344122400 its reverse (4221443), we get a palindrome (348343843).

The spelling of 344122400 in words is "three hundred forty-four million, one hundred twenty-two thousand, four hundred".