349836289 has 12 divisors (see below), whose sum is σ = 385936740. Its totient is φ = 316870400.

The previous prime is 349836287. The next prime is 349836293. The reversal of 349836289 is 982638943.

It can be written as a sum of positive squares in 2 ways, for example, as 277722225 + 72114064 = 16665^2 + 8492^2 .

It is not a de Polignac number, because 349836289 - 2¹ = 349836287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349836287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28857 + ... + 39145.

It is an arithmetic number, because the mean of its divisors is an integer number (32161395).

Almost surely, 2^349836289 is an apocalyptic number.

It is an amenable number.

349836289 is a deficient number, since it is larger than the sum of its proper divisors (36100451).

349836289 is a wasteful number, since it uses less digits than its factorization.

349836289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10592 (or 10581 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 52.

The square root of 349836289 is about 18703.9110615935. The cubic root of 349836289 is about 704.6199779444.

It can be divided in two parts, 349 and 836289, that added together give a palindrome (836638).

The spelling of 349836289 in words is "three hundred forty-nine million, eight hundred thirty-six thousand, two hundred eighty-nine".