344404300 has 72 divisors (see below), whose sum is σ = 786262176. Its totient is φ = 130690560.

The previous prime is 344404283. The next prime is 344404301. The reversal of 344404300 is 3404443.

It is a happy number.

344404300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×344404300² = 237228643716980000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344404301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314554 + ... + 315646.

It is an arithmetic number, because the mean of its divisors is an integer number (10920308).

Almost surely, 2^344404300 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 344404300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393131088).

344404300 is an abundant number, since it is smaller than the sum of its proper divisors (441857876).

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

344404300 is a wasteful number, since it uses less digits than its factorization.

344404300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 344404300 is about 18558.1329879921. The cubic root of 344404300 is about 700.9540053515.

Adding to 344404300 its reverse (3404443), we get a palindrome (347808743).

The spelling of 344404300 in words is "three hundred forty-four million, four hundred four thousand, three hundred".