345766682880 has 1008 divisors, whose sum is σ = 1337667053184. Its totient is φ = 85279703040.

The previous prime is 345766682843. The next prime is 345766682903. The reversal of 345766682880 is 88286667543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1126275687 + ... + 1126275993.

It is an arithmetic number, because the mean of its divisors is an integer number (1327050648).

Almost surely, 2^345766682880 is an apocalyptic number.

345766682880 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 345766682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668833526592).

345766682880 is an abundant number, since it is smaller than the sum of its proper divisors (991900370304).

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

345766682880 is an equidigital number, since it uses as much as digits as its factorization.

345766682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 345766682880 in words is "three hundred forty-five billion, seven hundred sixty-six million, six hundred eighty-two thousand, eight hundred eighty".