342766430208 has 576 divisors, whose sum is σ = 1083183192000. Its totient is φ = 104066187264.

The previous prime is 342766430203. The next prime is 342766430231. The reversal of 342766430208 is 802034667243.

342766430208 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 6 + 6 + 430 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (342766430203) 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 47 ways as a sum of consecutive naturals, for example, 1095100260 + ... + 1095100572.

It is an arithmetic number, because the mean of its divisors is an integer number (1880526375).

Almost surely, 2^342766430208 is an apocalyptic number.

342766430208 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 342766430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541591596000).

342766430208 is an abundant number, since it is smaller than the sum of its proper divisors (740416761792).

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

342766430208 is a wasteful number, since it uses less digits than its factorization.

342766430208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 342766430208 in words is "three hundred forty-two billion, seven hundred sixty-six million, four hundred thirty thousand, two hundred eight".