344050311168 has 168 divisors, whose sum is σ = 999849509568. Its totient is φ = 113992630272.

The previous prime is 344050311139. The next prime is 344050311169. The reversal of 344050311168 is 861113050443.

344050311168 is a `hidden beast` number, since 3 + 440 + 50 + 3 + 1 + 1 + 168 = 666.

It is a super-2 number, since 2×344050311168² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (344050311169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12298605 + ... + 12326547.

It is an arithmetic number, because the mean of its divisors is an integer number (5951485176).

Almost surely, 2^344050311168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344050311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499924754784).

344050311168 is an abundant number, since it is smaller than the sum of its proper divisors (655799198400).

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

344050311168 is a wasteful number, since it uses less digits than its factorization.

344050311168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28142 (or 28115 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 344050311168 in words is "three hundred forty-four billion, fifty million, three hundred eleven thousand, one hundred sixty-eight".