346944168 has 128 divisors (see below), whose sum is σ = 1009008000. Its totient is φ = 110315520.

The previous prime is 346944163. The next prime is 346944179. The reversal of 346944168 is 861449643.

346944168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (346944163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607323 + ... + 607893.

It is an arithmetic number, because the mean of its divisors is an integer number (7882875).

Almost surely, 2^346944168 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 346944168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504504000).

346944168 is an abundant number, since it is smaller than the sum of its proper divisors (662063832).

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

346944168 is a wasteful number, since it uses less digits than its factorization.

346944168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 346944168 is about 18626.4373405115. The cubic root of 346944168 is about 702.6728883041.

The spelling of 346944168 in words is "three hundred forty-six million, nine hundred forty-four thousand, one hundred sixty-eight".