349152817 has 24 divisors (see below), whose sum is σ = 408047544. Its totient is φ = 297483264.

The previous prime is 349152809. The next prime is 349152821. The reversal of 349152817 is 718251943.

It can be written as a sum of positive squares in 12 ways, for example, as 121022001 + 228130816 = 11001^2 + 15104^2 .

It is not a de Polignac number, because 349152817 - 2³ = 349152809 is a prime.

It is a super-3 number, since 3×349152817³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 349152817.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349152827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151123 + ... + 153415.

It is an arithmetic number, because the mean of its divisors is an integer number (17001981).

Almost surely, 2^349152817 is an apocalyptic number.

It is an amenable number.

349152817 is a deficient number, since it is larger than the sum of its proper divisors (58894727).

349152817 is a wasteful number, since it uses less digits than its factorization.

349152817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2376 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 349152817 is about 18685.6312978716. The cubic root of 349152817 is about 704.1608088928.

The spelling of 349152817 in words is "three hundred forty-nine million, one hundred fifty-two thousand, eight hundred seventeen".