345856188720 has 320 divisors, whose sum is σ = 1263712260096. Its totient is φ = 76593807360.

The previous prime is 345856188709. The next prime is 345856188721. The reversal of 345856188720 is 27881658543.

It is not an unprimeable number, because it can be changed into a prime (345856188721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14969017 + ... + 14992103.

Almost surely, 2^345856188720 is an apocalyptic number.

345856188720 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 345856188720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631856130048).

345856188720 is an abundant number, since it is smaller than the sum of its proper divisors (917856071376).

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

345856188720 is a wasteful number, since it uses less digits than its factorization.

345856188720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23388 (or 23382 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 345856188720 in words is "three hundred forty-five billion, eight hundred fifty-six million, one hundred eighty-eight thousand, seven hundred twenty".