344430122004 has 36 divisors (see below), whose sum is σ = 921857092884. Its totient is φ = 108056508672.

The previous prime is 344430121969. The next prime is 344430122017. The reversal of 344430122004 is 400221034443.

It is a happy number.

344430122004 is a `hidden beast` number, since 3 + 4 + 4 + 430 + 1 + 220 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120861913104 + 223568208900 = 347652^2 + 472830^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281396547 + ... + 281397770.

It is an arithmetic number, because the mean of its divisors is an integer number (25607141469).

Almost surely, 2^344430122004 is an apocalyptic number.

344430122004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

344430122004 is an abundant number, since it is smaller than the sum of its proper divisors (577426970880).

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

344430122004 is a wasteful number, since it uses less digits than its factorization.

344430122004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562794344 (or 562794339 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 344430122004 its reverse (400221034443), we get a palindrome (744651156447).

The spelling of 344430122004 in words is "three hundred forty-four billion, four hundred thirty million, one hundred twenty-two thousand, four".