342085968 has 120 divisors (see below), whose sum is σ = 1158550848. Its totient is φ = 91984896.

The previous prime is 342085963. The next prime is 342086033. The reversal of 342085968 is 869580243.

342085968 is a `hidden beast` number, since 34 + 20 + 8 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342085963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7155 + ... + 27117.

Almost surely, 2^342085968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342085968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579275424).

342085968 is an abundant number, since it is smaller than the sum of its proper divisors (816464880).

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

342085968 is a wasteful number, since it uses less digits than its factorization.

342085968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20001 (or 19992 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 342085968 is about 18495.5661713828. The cubic root of 342085968 is about 699.3776563855.

The spelling of 342085968 in words is "three hundred forty-two million, eighty-five thousand, nine hundred sixty-eight".