342128831616 has 1280 divisors, whose sum is σ = 1273931366400. Its totient is φ = 89669099520.

The previous prime is 342128831599. The next prime is 342128831641. The reversal of 342128831616 is 616138821243.

342128831616 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 28 + 8 + 3 + 1 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 2693927745 + ... + 2693927871.

It is an arithmetic number, because the mean of its divisors is an integer number (995258880).

Almost surely, 2^342128831616 is an apocalyptic number.

342128831616 is a gapful number since it is divisible by the number (36) 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 342128831616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636965683200).

342128831616 is an abundant number, since it is smaller than the sum of its proper divisors (931802534784).

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

342128831616 is a wasteful number, since it uses less digits than its factorization.

342128831616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 258 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 342128831616 in words is "three hundred forty-two billion, one hundred twenty-eight million, eight hundred thirty-one thousand, six hundred sixteen".