342656009280 has 1344 divisors, whose sum is σ = 1423496954880. Its totient is φ = 74794401792.

The previous prime is 342656009231. The next prime is 342656009299. The reversal of 342656009280 is 82900656243.

342656009280 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 560 + 0 + 9 + 2 + 80 = 666.

It is a super-2 number, since 2×342656009280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1302874429 + ... + 1302874691.

It is an arithmetic number, because the mean of its divisors is an integer number (1059149520).

Almost surely, 2^342656009280 is an apocalyptic number.

342656009280 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 342656009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711748477440).

342656009280 is an abundant number, since it is smaller than the sum of its proper divisors (1080840945600).

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

342656009280 is a wasteful number, since it uses less digits than its factorization.

342656009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 342656009280 in words is "three hundred forty-two billion, six hundred fifty-six million, nine thousand, two hundred eighty".