342531221760 has 1728 divisors, whose sum is σ = 1591003814400. Its totient is φ = 65994227712.

The previous prime is 342531221759. The next prime is 342531221797. The reversal of 342531221760 is 67122135243.

342531221760 is a `hidden beast` number, since 3 + 42 + 531 + 2 + 21 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 577624024 + ... + 577624616.

It is an arithmetic number, because the mean of its divisors is an integer number (920719800).

Almost surely, 2^342531221760 is an apocalyptic number.

342531221760 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 342531221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795501907200).

342531221760 is an abundant number, since it is smaller than the sum of its proper divisors (1248472592640).

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

342531221760 is a wasteful number, since it uses less digits than its factorization.

342531221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 342531221760 in words is "three hundred forty-two billion, five hundred thirty-one million, two hundred twenty-one thousand, seven hundred sixty".