342643834320480 has 2688 divisors, whose sum is σ = 1532889814450176. Its totient is φ = 70275805286400.

The previous prime is 342643834320457. The next prime is 342643834320503. The reversal of 342643834320480 is 84023438346243.

342643834320480 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 43 + 83 + 43 + 2 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (342643834320457) and next prime (342643834320503).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 543017169765 + ... + 543017170395.

It is an arithmetic number, because the mean of its divisors is an integer number (570271508352).

Almost surely, 2^{342643834320480} is an apocalyptic number.

342643834320480 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 342643834320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766444907225088).

342643834320480 is an abundant number, since it is smaller than the sum of its proper divisors (1190245980129696).

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

342643834320480 is a wasteful number, since it uses less digits than its factorization.

342643834320480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 54.

The spelling of 342643834320480 in words is "three hundred forty-two trillion, six hundred forty-three billion, eight hundred thirty-four million, three hundred twenty thousand, four hundred eighty".