345882504028320 has 1152 divisors, whose sum is σ = 1473210092390400. Its totient is φ = 74863226253312.

The previous prime is 345882504028253. The next prime is 345882504028337. The reversal of 345882504028320 is 23820405288543.

345882504028320 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 8 + 250 + 40 + 28 + 320 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 12095048262 + ... + 12095076858.

It is an arithmetic number, because the mean of its divisors is an integer number (1278828205200).

Almost surely, 2^{345882504028320} is an apocalyptic number.

345882504028320 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 345882504028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736605046195200).

345882504028320 is an abundant number, since it is smaller than the sum of its proper divisors (1127327588362080).

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

345882504028320 is a wasteful number, since it uses less digits than its factorization.

345882504028320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30992 (or 30972 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 345882504028320 in words is "three hundred forty-five trillion, eight hundred eighty-two billion, five hundred four million, twenty-eight thousand, three hundred twenty".