342807377760 has 144 divisors (see below), whose sum is σ = 1170166888800. Its totient is φ = 91388989440.

The previous prime is 342807377747. The next prime is 342807377771. The reversal of 342807377760 is 67773708243.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 342807377697 and 342807377706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5253816 + ... + 5318664.

It is an arithmetic number, because the mean of its divisors is an integer number (8126158950).

Almost surely, 2^342807377760 is an apocalyptic number.

342807377760 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 342807377760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585083444400).

342807377760 is an abundant number, since it is smaller than the sum of its proper divisors (827359511040).

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

342807377760 is a wasteful number, since it uses less digits than its factorization.

342807377760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68541 (or 68530 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 342807377760 in words is "three hundred forty-two billion, eight hundred seven million, three hundred seventy-seven thousand, seven hundred sixty".