345987589963800 has 48 divisors (see below), whose sum is σ = 1072561528889640. Its totient is φ = 92263357323520.

The previous prime is 345987589963793. The next prime is 345987589963801. The reversal of 345987589963800 is 8369985789543.

It is a Smith number, since the sum of its digits (84) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345987589963801) 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 11 ways as a sum of consecutive naturals, for example, 288322991037 + ... + 288322992236.

Almost surely, 2^{345987589963800} is an apocalyptic number.

345987589963800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345987589963800 is an abundant number, since it is smaller than the sum of its proper divisors (726573938925840).

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

345987589963800 is a wasteful number, since it uses less digits than its factorization.

345987589963800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576645983292 (or 576645983283 counting only the distinct ones).

The product of its (nonzero) digits is 14108774400, while the sum is 84.

The spelling of 345987589963800 in words is "three hundred forty-five trillion, nine hundred eighty-seven billion, five hundred eighty-nine million, nine hundred sixty-three thousand, eight hundred".