345213350800 has 30 divisors (see below), whose sum is σ = 829375076258. Its totient is φ = 138085340160.

The previous prime is 345213350789. The next prime is 345213350827. The reversal of 345213350800 is 8053312543.

It can be written as a sum of positive squares in 3 ways, for example, as 4288154256 + 340925196544 = 65484^2 + 583888^2 .

It is a super-3 number, since 3×345213350800³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 431516289 + ... + 431517088.

Almost surely, 2^345213350800 is an apocalyptic number.

It is an amenable number.

345213350800 is an abundant number, since it is smaller than the sum of its proper divisors (484161725458).

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

345213350800 is a wasteful number, since it uses less digits than its factorization.

345213350800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863033395 (or 863033384 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 345213350800 in words is "three hundred forty-five billion, two hundred thirteen million, three hundred fifty thousand, eight hundred".