347145216 has 88 divisors (see below), whose sum is σ = 1009482144. Its totient is φ = 105185280.

The previous prime is 347145163. The next prime is 347145217. The reversal of 347145216 is 612541743.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (347145217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28656 + ... + 38928.

It is an arithmetic number, because the mean of its divisors is an integer number (11471388).

Almost surely, 2^347145216 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 347145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504741072).

347145216 is an abundant number, since it is smaller than the sum of its proper divisors (662336928).

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

347145216 is a wasteful number, since it uses less digits than its factorization.

347145216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10307 (or 10289 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 347145216 is about 18631.8334041500. The cubic root of 347145216 is about 702.8085909259.

Adding to 347145216 its reverse (612541743), we get a palindrome (959686959).

It can be divided in two parts, 347145 and 216, that added together give a triangular number (347361 = T₈₃₃).

The spelling of 347145216 in words is "three hundred forty-seven million, one hundred forty-five thousand, two hundred sixteen".