344120420033334 has 144 divisors (see below), whose sum is σ = 913158362937600. Its totient is φ = 93126418707168.

The previous prime is 344120420033309. The next prime is 344120420033347. The reversal of 344120420033334 is 433330024021443.

344120420033334 is a `hidden beast` number, since 3 + 4 + 412 + 0 + 4 + 200 + 3 + 3 + 3 + 34 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80345319 + ... + 84519885.

It is an arithmetic number, because the mean of its divisors is an integer number (6341377520400).

Almost surely, 2^{344120420033334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344120420033334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456579181468800).

344120420033334 is an abundant number, since it is smaller than the sum of its proper divisors (569037942904266).

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

344120420033334 is a wasteful number, since it uses less digits than its factorization.

344120420033334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179527 (or 4179517 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 344120420033334 its reverse (433330024021443), we get a palindrome (777450444054777).

The spelling of 344120420033334 in words is "three hundred forty-four trillion, one hundred twenty billion, four hundred twenty million, thirty-three thousand, three hundred thirty-four".