345303726240 has 96 divisors (see below), whose sum is σ = 1186589186496. Its totient is φ = 83709992960.

The previous prime is 345303726227. The next prime is 345303726281. The reversal of 345303726240 is 42627303543.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32693937 + ... + 32704496.

It is an arithmetic number, because the mean of its divisors is an integer number (12360304026).

Almost surely, 2^345303726240 is an apocalyptic number.

345303726240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345303726240 is an abundant number, since it is smaller than the sum of its proper divisors (841285460256).

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

345303726240 is a wasteful number, since it uses less digits than its factorization.

345303726240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65398462 (or 65398454 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 39.

The spelling of 345303726240 in words is "three hundred forty-five billion, three hundred three million, seven hundred twenty-six thousand, two hundred forty".