344420400 has 120 divisors (see below), whose sum is σ = 1151354880. Its totient is φ = 87845120.

The previous prime is 344420389. The next prime is 344420431. The reversal of 344420400 is 4024443.

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

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 23 ways as a sum of consecutive naturals, for example, 21361 + ... + 33839.

It is an arithmetic number, because the mean of its divisors is an integer number (9594624).

Almost surely, 2^344420400 is an apocalyptic number.

344420400 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 344420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575677440).

344420400 is an abundant number, since it is smaller than the sum of its proper divisors (806934480).

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

344420400 is a wasteful number, since it uses less digits than its factorization.

344420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12523 (or 12512 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 344420400 is about 18558.5667550056. The cubic root of 344420400 is about 700.9649277699.

Adding to 344420400 its reverse (4024443), we get a palindrome (348444843).

The spelling of 344420400 in words is "three hundred forty-four million, four hundred twenty thousand, four hundred".