344414400 has 252 divisors, whose sum is σ = 1244123496. Its totient is φ = 83353600.

The previous prime is 344414383. The next prime is 344414423. The reversal of 344414400 is 4414443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 580504 + ... + 581096.

It is an arithmetic number, because the mean of its divisors is an integer number (4936998).

Almost surely, 2^344414400 is an apocalyptic number.

344414400 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 344414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622061748).

344414400 is an abundant number, since it is smaller than the sum of its proper divisors (899709096).

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

344414400 is a wasteful number, since it uses less digits than its factorization.

344414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 344414400 is about 18558.4051038876. The cubic root of 344414400 is about 700.9608573432.

Adding to 344414400 its reverse (4414443), we get a palindrome (348828843).

The spelling of 344414400 in words is "three hundred forty-four million, four hundred fourteen thousand, four hundred".