349613820349369 has 9 divisors (see below), whose sum is σ = 357211578087247. Its totient is φ = 342174368320744.

The previous prime is 349613820349361. The next prime is 349613820349379. The reversal of 349613820349369 is 963943028316943.

The square root of 349613820349369 is 18697963.

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

It can be written as a sum of positive squares in only one way, i.e., 196656785292969 + 152957035056400 = 14023437^2 + 12367580^2 .

It is not a de Polignac number, because 349613820349369 - 2³ = 349613820349361 is a prime.

It is a super-2 number, since 2×349613820349369² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 349613820349298 and 349613820349307.

It is not an unprimeable number, because it can be changed into a prime (349613820349361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 878605347 + ... + 879003175.

Almost surely, 2^{349613820349369} is an apocalyptic number.

349613820349369 is the 18697963-rd square number.

349613820349369 is the 9348982-nd centered octagonal number.

It is an amenable number.

349613820349369 is a deficient number, since it is larger than the sum of its proper divisors (7597757737878).

349613820349369 is an frugal number, since it uses more digits than its factorization.

349613820349369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795752 (or 397876 counting only the distinct ones).

The product of its (nonzero) digits is 544195584, while the sum is 70.

The spelling of 349613820349369 in words is "three hundred forty-nine trillion, six hundred thirteen billion, eight hundred twenty million, three hundred forty-nine thousand, three hundred sixty-nine".