345968160 has 48 divisors (see below), whose sum is σ = 1089801216. Its totient is φ = 92258048.

The previous prime is 345968159. The next prime is 345968179. The reversal of 345968160 is 61869543.

It is a tau number, because it is divible by the number of its divisors (48).

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, 359904 + ... + 360863.

It is an arithmetic number, because the mean of its divisors is an integer number (22704192).

Almost surely, 2^345968160 is an apocalyptic number.

345968160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345968160 is an abundant number, since it is smaller than the sum of its proper divisors (743833056).

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

345968160 is a wasteful number, since it uses less digits than its factorization.

345968160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720785 (or 720777 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 345968160 is about 18600.2193535453. The cubic root of 345968160 is about 702.0133600269.

The spelling of 345968160 in words is "three hundred forty-five million, nine hundred sixty-eight thousand, one hundred sixty".