345224213033300 has 36 divisors (see below), whose sum is σ = 749837325061020. Its totient is φ = 137960508664320.

The previous prime is 345224213033243. The next prime is 345224213033321. The reversal of 345224213033300 is 3330312422543.

It can be written as a sum of positive squares in 6 ways, for example, as 62365230831556 + 282858982201744 = 7897166^2 + 16818412^2 .

It is a super-3 number, since 3×345224213033300³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1614599429 + ... + 1614813228.

Almost surely, 2^{345224213033300} is an apocalyptic number.

It is an amenable number.

345224213033300 is an abundant number, since it is smaller than the sum of its proper divisors (404613112027720).

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

345224213033300 is a wasteful number, since it uses less digits than its factorization.

345224213033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229413740 (or 3229413733 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 35.

Adding to 345224213033300 its reverse (3330312422543), we get a palindrome (348554525455843).

The spelling of 345224213033300 in words is "three hundred forty-five trillion, two hundred twenty-four billion, two hundred thirteen million, thirty-three thousand, three hundred".