344404320 has 192 divisors, whose sum is σ = 1182444480. Its totient is φ = 83755008.

The previous prime is 344404301. The next prime is 344404339. The reversal of 344404320 is 23404443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (344404301) and next prime (344404339).

It is a super-2 number, since 2×344404320² = 237228671269324800, which contains 22 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 604996 + ... + 605564.

It is an arithmetic number, because the mean of its divisors is an integer number (6158565).

Almost surely, 2^344404320 is an apocalyptic number.

344404320 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 344404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591222240).

344404320 is an abundant number, since it is smaller than the sum of its proper divisors (838040160).

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

344404320 is a wasteful number, since it uses less digits than its factorization.

344404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 344404320 is about 18558.1335268394. The cubic root of 344404320 is about 700.9540189199.

Adding to 344404320 its reverse (23404443), we get a palindrome (367808763).

The spelling of 344404320 in words is "three hundred forty-four million, four hundred four thousand, three hundred twenty".