345329750563200 has 768 divisors, whose sum is σ = 1370962305921600. Its totient is φ = 84383739740160.

The previous prime is 345329750563169. The next prime is 345329750563261. The reversal of 345329750563200 is 2365057923543.

345329750563200 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 2 + 9 + 7 + 50 + 563 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152756314 + ... + 155000486.

Almost surely, 2^{345329750563200} is an apocalyptic number.

345329750563200 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 345329750563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685481152960800).

345329750563200 is an abundant number, since it is smaller than the sum of its proper divisors (1025632555358400).

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

345329750563200 is a wasteful number, since it uses less digits than its factorization.

345329750563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244356 (or 2244333 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 54.

The spelling of 345329750563200 in words is "three hundred forty-five trillion, three hundred twenty-nine billion, seven hundred fifty million, five hundred sixty-three thousand, two hundred".