349203969 has 9 divisors (see below), whose sum is σ = 504486723. Its totient is φ = 232765272.

The previous prime is 349203947. The next prime is 349203997. The reversal of 349203969 is 969302943.

The square root of 349203969 is 18687.

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., 176544369 + 172659600 = 13287^2 + 13140^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 349203969 - 2¹⁵ = 349171201 is a prime.

It is a super-2 number, since 2×349203969² = 243886823930705922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (349203469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52947 + ... + 59175.

Almost surely, 2^349203969 is an apocalyptic number.

349203969 is the 18687-th square number.

349203969 is the 9344-th centered octagonal number.

It is an amenable number.

349203969 is a deficient number, since it is larger than the sum of its proper divisors (155282754).

349203969 is an frugal number, since it uses more digits than its factorization.

349203969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12464 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The cubic root of 349203969 is about 704.1951944809.

The spelling of 349203969 in words is "three hundred forty-nine million, two hundred three thousand, nine hundred sixty-nine".