343516726609 has 27 divisors (see below), whose sum is σ = 404084144241. Its totient is φ = 291175970400.

The previous prime is 343516726603. The next prime is 343516726633. The reversal of 343516726609 is 906627615343.

It is a happy number.

The square root of 343516726609 is 586103.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 129813928209 + 213702798400 = 360297^2 + 462280^2 .

It is not a de Polignac number, because 343516726609 - 2¹¹ = 343516724561 is a prime.

It is a super-4 number, since 4×343516726609⁴ (a number of 47 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (343516726603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 414374407 + ... + 414375235.

Almost surely, 2^343516726609 is an apocalyptic number.

343516726609 is the 586103-rd square number.

343516726609 is the 293052-nd centered octagonal number.

It is an amenable number.

343516726609 is a deficient number, since it is larger than the sum of its proper divisors (60567417632).

343516726609 is an frugal number, since it uses more digits than its factorization.

343516726609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 343516726609 in words is "three hundred forty-three billion, five hundred sixteen million, seven hundred twenty-six thousand, six hundred nine".