345142442040360 has 128 divisors (see below), whose sum is σ = 1036464721015680. Its totient is φ = 91945794203648.

The previous prime is 345142442040323. The next prime is 345142442040371. The reversal of 345142442040360 is 63040244241543.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003683172 + ... + 1004026988.

It is an arithmetic number, because the mean of its divisors is an integer number (8097380632935).

Almost surely, 2^{345142442040360} is an apocalyptic number.

345142442040360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345142442040360 is an abundant number, since it is smaller than the sum of its proper divisors (691322278975320).

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

345142442040360 is a wasteful number, since it uses less digits than its factorization.

345142442040360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352187 (or 352183 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 345142442040360 in words is "three hundred forty-five trillion, one hundred forty-two billion, four hundred forty-two million, forty thousand, three hundred sixty".