342785007180 has 144 divisors (see below), whose sum is σ = 1296350625024. Its totient is φ = 71228050560.

The previous prime is 342785007163. The next prime is 342785007193. The reversal of 342785007180 is 81700587243.

342785007180 is a `hidden beast` number, since 3 + 4 + 2 + 78 + 500 + 71 + 8 + 0 = 666.

It is a super-3 number, since 3×342785007180³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12352122 + ... + 12379841.

It is an arithmetic number, because the mean of its divisors is an integer number (9002434896).

Almost surely, 2^342785007180 is an apocalyptic number.

342785007180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342785007180 is an abundant number, since it is smaller than the sum of its proper divisors (953565617844).

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

342785007180 is a wasteful number, since it uses less digits than its factorization.

342785007180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24731996 (or 24731991 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 342785007180 in words is "three hundred forty-two billion, seven hundred eighty-five million, seven thousand, one hundred eighty".