342046579680 has 960 divisors, whose sum is σ = 1384500237120. Its totient is φ = 78782201856.

The previous prime is 342046579639. The next prime is 342046579681. The reversal of 342046579680 is 86975640243.

342046579680 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 4 + 6 + 579 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342046579681) 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 159 ways as a sum of consecutive naturals, for example, 879296926 + ... + 879297314.

It is an arithmetic number, because the mean of its divisors is an integer number (1442187747).

Almost surely, 2^342046579680 is an apocalyptic number.

342046579680 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 342046579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692250118560).

342046579680 is an abundant number, since it is smaller than the sum of its proper divisors (1042453657440).

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

342046579680 is a wasteful number, since it uses less digits than its factorization.

342046579680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 342046579680 in words is "three hundred forty-two billion, forty-six million, five hundred seventy-nine thousand, six hundred eighty".