340067370768 has 160 divisors (see below), whose sum is σ = 933015283200. Its totient is φ = 106431436800.

The previous prime is 340067370761. The next prime is 340067370781. The reversal of 340067370768 is 867073760043.

It is a super-2 number, since 2×340067370768² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 340067370768.

It is not an unprimeable number, because it can be changed into a prime (340067370761) by changing a digit.

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, 130342648 + ... + 130345256.

It is an arithmetic number, because the mean of its divisors is an integer number (5831345520).

Almost surely, 2^340067370768 is an apocalyptic number.

340067370768 is a gapful number since it is divisible by the number (38) 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 340067370768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466507641600).

340067370768 is an abundant number, since it is smaller than the sum of its proper divisors (592947912432).

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

340067370768 is a wasteful number, since it uses less digits than its factorization.

340067370768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 51.

The spelling of 340067370768 in words is "three hundred forty billion, sixty-seven million, three hundred seventy thousand, seven hundred sixty-eight".