345819168 has 288 divisors, whose sum is σ = 1129355136. Its totient is φ = 99753984.

The previous prime is 345819163. The next prime is 345819179. The reversal of 345819168 is 861918543.

345819168 is a `hidden beast` number, since 3 + 4 + 581 + 9 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (345819161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4166455 + ... + 4166537.

It is an arithmetic number, because the mean of its divisors is an integer number (3921372).

Almost surely, 2^345819168 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 345819168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564677568).

345819168 is an abundant number, since it is smaller than the sum of its proper divisors (783535968).

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

345819168 is a wasteful number, since it uses less digits than its factorization.

345819168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 345819168 is about 18596.2138081922. The cubic root of 345819168 is about 701.9125709902.

The spelling of 345819168 in words is "three hundred forty-five million, eight hundred nineteen thousand, one hundred sixty-eight".