345326432000 has 288 divisors, whose sum is σ = 970845220800. Its totient is φ = 121239552000.

The previous prime is 345326431987. The next prime is 345326432039. The reversal of 345326432000 is 234623543.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10191086 + ... + 10224914.

It is an arithmetic number, because the mean of its divisors is an integer number (3370990350).

Almost surely, 2^345326432000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345326432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485422610400).

345326432000 is an abundant number, since it is smaller than the sum of its proper divisors (625518788800).

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

345326432000 is a wasteful number, since it uses less digits than its factorization.

345326432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33900 (or 33876 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

The spelling of 345326432000 in words is "three hundred forty-five billion, three hundred twenty-six million, four hundred thirty-two thousand".