345564330210 has 48 divisors (see below), whose sum is σ = 980146103040. Its totient is φ = 83773170720.

The previous prime is 345564330203. The next prime is 345564330217. The reversal of 345564330210 is 12033465543.

345564330210 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 6 + 433 + 0 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (345564330203) and next prime (345564330217).

It is a super-3 number, since 3×345564330210³ (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (345564330217) 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 23 ways as a sum of consecutive naturals, for example, 174526450 + ... + 174528429.

It is an arithmetic number, because the mean of its divisors is an integer number (20419710480).

Almost surely, 2^345564330210 is an apocalyptic number.

345564330210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345564330210 is an abundant number, since it is smaller than the sum of its proper divisors (634581772830).

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

345564330210 is a wasteful number, since it uses less digits than its factorization.

345564330210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349054903 (or 349054900 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 345564330210 its reverse (12033465543), we get a palindrome (357597795753).

The spelling of 345564330210 in words is "three hundred forty-five billion, five hundred sixty-four million, three hundred thirty thousand, two hundred ten".