347353344 has 108 divisors (see below), whose sum is σ = 1078637196. Its totient is φ = 106868736.

The previous prime is 347353343. The next prime is 347353397. The reversal of 347353344 is 443353743.

347353344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 180633600 + 166719744 = 13440^2 + 12912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 347353299 and 347353308.

It is not an unprimeable number, because it can be changed into a prime (347353343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24154 + ... + 35750.

Almost surely, 2^347353344 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 347353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539318598).

347353344 is an abundant number, since it is smaller than the sum of its proper divisors (731283852).

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

347353344 is a wasteful number, since it uses less digits than its factorization.

347353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11632 (or 11615 counting only the distinct ones).

The product of its digits is 181440, while the sum is 36.

The square root of 347353344 is about 18637.4178469014. The cubic root of 347353344 is about 702.9490171960.

The spelling of 347353344 in words is "three hundred forty-seven million, three hundred fifty-three thousand, three hundred forty-four".