342000396864 has 315 divisors, whose sum is σ = 1159989326067. Its totient is φ = 96058222848.

The previous prime is 342000396823. The next prime is 342000396869. The reversal of 342000396864 is 468693000243.

The square root of 342000396864 is 584808.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (342000396869) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 5796616867 + ... + 5796616925.

Almost surely, 2^342000396864 is an apocalyptic number.

342000396864 is the 584808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342000396864

342000396864 is an abundant number, since it is smaller than the sum of its proper divisors (817988929203).

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

342000396864 is an frugal number, since it uses more digits than its factorization.

342000396864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 342000396864 in words is "three hundred forty-two billion, three hundred ninety-six thousand, eight hundred sixty-four".