345517442240 has 224 divisors, whose sum is σ = 864246257280. Its totient is φ = 131401711616.

The previous prime is 345517442197. The next prime is 345517442267. The reversal of 345517442240 is 42244715543.

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, 175121894 + ... + 175123866.

It is an arithmetic number, because the mean of its divisors is an integer number (3858242220).

Almost surely, 2^345517442240 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 345517442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432123128640).

345517442240 is an abundant number, since it is smaller than the sum of its proper divisors (518728815040).

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

345517442240 is a wasteful number, since it uses less digits than its factorization.

345517442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 41.

The spelling of 345517442240 in words is "three hundred forty-five billion, five hundred seventeen million, four hundred forty-two thousand, two hundred forty".