347352768 has 252 divisors, whose sum is σ = 1198546752. Its totient is φ = 95800320.

The previous prime is 347352763. The next prime is 347352769. The reversal of 347352768 is 867253743.

347352768 is a `hidden beast` number, since 347 + 35 + 276 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (347352763) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 874746 + ... + 875142.

Almost surely, 2^347352768 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 347352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599273376).

347352768 is an abundant number, since it is smaller than the sum of its proper divisors (851193984).

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

347352768 is a wasteful number, since it uses less digits than its factorization.

347352768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 440 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 347352768 is about 18637.4023941106. The cubic root of 347352768 is about 702.9486286399.

The spelling of 347352768 in words is "three hundred forty-seven million, three hundred fifty-two thousand, seven hundred sixty-eight".