345503221760 has 96 divisors (see below), whose sum is σ = 840683188800. Its totient is φ = 136254504960.

The previous prime is 345503221747. The next prime is 345503221787. The reversal of 345503221760 is 67122305543.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489431 + ... + 964649.

It is an arithmetic number, because the mean of its divisors is an integer number (8757116550).

Almost surely, 2^345503221760 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 345503221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420341594400).

345503221760 is an abundant number, since it is smaller than the sum of its proper divisors (495179967040).

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

345503221760 is an equidigital number, since it uses as much as digits as its factorization.

345503221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475317 (or 475297 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The spelling of 345503221760 in words is "three hundred forty-five billion, five hundred three million, two hundred twenty-one thousand, seven hundred sixty".