349544635729 has 45 divisors (see below), whose sum is σ = 392691056247. Its totient is φ = 311087353248.

The previous prime is 349544635697. The next prime is 349544635733. The reversal of 349544635729 is 927536445943.

It is a happy number.

The square root of 349544635729 is 591223.

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

It can be written as a sum of positive squares in 7 ways, for example, as 26979705025 + 322564930704 = 164255^2 + 567948^2 .

It is not a de Polignac number, because 349544635729 - 2⁵ = 349544635697 is a prime.

It is a super-2 number, since 2×349544635729² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349544635799) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9447152299 + ... + 9447152335.

Almost surely, 2^349544635729 is an apocalyptic number.

349544635729 is the 591223-rd square number.

349544635729 is the 295612-nd centered octagonal number.

It is an amenable number.

349544635729 is a deficient number, since it is larger than the sum of its proper divisors (43146420518).

349544635729 is an frugal number, since it uses more digits than its factorization.

349544635729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 85 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 61.

The spelling of 349544635729 in words is "three hundred forty-nine billion, five hundred forty-four million, six hundred thirty-five thousand, seven hundred twenty-nine".