345877168 has 160 divisors (see below), whose sum is σ = 871055360. Its totient is φ = 129392640.

The previous prime is 345877157. The next prime is 345877211. The reversal of 345877168 is 861778543.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

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, 3565696 + ... + 3565792.

It is an arithmetic number, because the mean of its divisors is an integer number (5444096).

Almost surely, 2^345877168 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 345877168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435527680).

345877168 is an abundant number, since it is smaller than the sum of its proper divisors (525178192).

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

345877168 is a wasteful number, since it uses less digits than its factorization.

345877168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 49.

The square root of 345877168 is about 18597.7732000366. The cubic root of 345877168 is about 701.9518098537.

The spelling of 345877168 in words is "three hundred forty-five million, eight hundred seventy-seven thousand, one hundred sixty-eight".