347405345 has 24 divisors (see below), whose sum is σ = 489436200. Its totient is φ = 236017152.

The previous prime is 347405339. The next prime is 347405369. The reversal of 347405345 is 543504743.

It can be written as a sum of positive squares in 4 ways, for example, as 23261329 + 324144016 = 4823^2 + 18004^2 .

It is not a de Polignac number, because 347405345 - 2⁶ = 347405281 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20201 + ... + 33209.

It is an arithmetic number, because the mean of its divisors is an integer number (20393175).

Almost surely, 2^347405345 is an apocalyptic number.

347405345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

347405345 is a deficient number, since it is larger than the sum of its proper divisors (142030855).

347405345 is a wasteful number, since it uses less digits than its factorization.

347405345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13137 (or 13130 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 35.

The square root of 347405345 is about 18638.8128645577. The cubic root of 347405345 is about 702.9840940887.

The spelling of 347405345 in words is "three hundred forty-seven million, four hundred five thousand, three hundred forty-five".