344120400 has 600 divisors, whose sum is σ = 1432581920. Its totient is φ = 78382080.

The previous prime is 344120383. The next prime is 344120431. The reversal of 344120400 is 4021443.

344120400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 119 ways as a sum of consecutive naturals, for example, 8002779 + ... + 8002821.

Almost surely, 2^344120400 is an apocalyptic number.

344120400 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 344120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716290960).

344120400 is an abundant number, since it is smaller than the sum of its proper divisors (1088461520).

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

344120400 is a wasteful number, since it uses less digits than its factorization.

344120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 344120400 is about 18550.4824735100. The cubic root of 344120400 is about 700.7613484969.

Adding to 344120400 its reverse (4021443), we get a palindrome (348141843).

The spelling of 344120400 in words is "three hundred forty-four million, one hundred twenty thousand, four hundred".