349346061 has 32 divisors (see below), whose sum is σ = 532224000. Its totient is φ = 226349424.

The previous prime is 349346003. The next prime is 349346089. The reversal of 349346061 is 160643943.

349346061 is a `hidden beast` number, since 3 + 49 + 3 + 4 + 606 + 1 = 666.

It is not a de Polignac number, because 349346061 - 2⁷ = 349345933 is a prime.

It is a super-3 number, since 3×349346061³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349346461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276850 + ... + 278108.

It is an arithmetic number, because the mean of its divisors is an integer number (16632000).

Almost surely, 2^349346061 is an apocalyptic number.

It is an amenable number.

349346061 is a deficient number, since it is larger than the sum of its proper divisors (182877939).

349346061 is a wasteful number, since it uses less digits than its factorization.

349346061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 349346061 is about 18690.8015076936. The cubic root of 349346061 is about 704.2906944789.

The spelling of 349346061 in words is "three hundred forty-nine million, three hundred forty-six thousand, sixty-one".