346945248320 has 112 divisors (see below), whose sum is σ = 901874841408. Its totient is φ = 126077122560.

The previous prime is 346945248259. The next prime is 346945248371. The reversal of 346945248320 is 23842549643.

It is a happy number.

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, 5328602 + ... + 5393318.

Almost surely, 2^346945248320 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 346945248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450937420704).

346945248320 is an abundant number, since it is smaller than the sum of its proper divisors (554929593088).

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

346945248320 is a wasteful number, since it uses less digits than its factorization.

346945248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66268 (or 66258 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 50.

The spelling of 346945248320 in words is "three hundred forty-six billion, nine hundred forty-five million, two hundred forty-eight thousand, three hundred twenty".