349736218225 has 9 divisors (see below), whose sum is σ = 433676577217. Its totient is φ = 279786609040.

The previous prime is 349736218219. The next prime is 349736218229. The reversal of 349736218225 is 522812637943.

It is a happy number.

The square root of 349736218225 is 591385.

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 90638929969 + 259097288256 = 301063^2 + 509016^2 .

It is not a de Polignac number, because 349736218225 - 2³ = 349736218217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349736218229) 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, 2897787 + ... + 3016063.

Almost surely, 2^349736218225 is an apocalyptic number.

349736218225 is the 591385-th square number.

349736218225 is the 295693-rd centered octagonal number.

It is an amenable number.

349736218225 is a deficient number, since it is larger than the sum of its proper divisors (83940358992).

349736218225 is an frugal number, since it uses more digits than its factorization.

349736218225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236564 (or 118282 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The spelling of 349736218225 in words is "three hundred forty-nine billion, seven hundred thirty-six million, two hundred eighteen thousand, two hundred twenty-five".