344002044001230 has 192 divisors, whose sum is σ = 941523110131968. Its totient is φ = 90350516931840.

The previous prime is 344002044001219. The next prime is 344002044001237. The reversal of 344002044001230 is 32100440200443.

It is a happy number.

344002044001230 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 0 + 20 + 4 + 400 + 1 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 344002044001194 and 344002044001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344002044001237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1056636954 + ... + 1056962466.

It is an arithmetic number, because the mean of its divisors is an integer number (4903766198604).

Almost surely, 2^{344002044001230} is an apocalyptic number.

344002044001230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344002044001230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470761555065984).

344002044001230 is an abundant number, since it is smaller than the sum of its proper divisors (597521066130738).

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

344002044001230 is a wasteful number, since it uses less digits than its factorization.

344002044001230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332093 (or 332081 counting only the distinct ones).

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

Adding to 344002044001230 its reverse (32100440200443), we get a palindrome (376102484201673).

The spelling of 344002044001230 in words is "three hundred forty-four trillion, two billion, forty-four million, one thousand, two hundred thirty".