344055330120 has 128 divisors (see below), whose sum is σ = 1053639290880. Its totient is φ = 89856480000.

The previous prime is 344055330083. The next prime is 344055330139. The reversal of 344055330120 is 21033550443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152805 + ... + 1420235.

It is an arithmetic number, because the mean of its divisors is an integer number (8231556960).

Almost surely, 2^344055330120 is an apocalyptic number.

344055330120 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 344055330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526819645440).

344055330120 is an abundant number, since it is smaller than the sum of its proper divisors (709583960760).

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

344055330120 is a wasteful number, since it uses less digits than its factorization.

344055330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267667 (or 267663 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 344055330120 its reverse (21033550443), we get a palindrome (365088880563).

The spelling of 344055330120 in words is "three hundred forty-four billion, fifty-five million, three hundred thirty thousand, one hundred twenty".