349600414 has 32 divisors (see below), whose sum is σ = 555609600. Its totient is φ = 164656800.

The previous prime is 349600411. The next prime is 349600421. The reversal of 349600414 is 414006943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349600411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1656769 + ... + 1656979.

It is an arithmetic number, because the mean of its divisors is an integer number (17362800).

Almost surely, 2^349600414 is an apocalyptic number.

349600414 is a deficient number, since it is larger than the sum of its proper divisors (206009186).

349600414 is a wasteful number, since it uses less digits than its factorization.

349600414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616.

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 349600414 is about 18697.6044989726. The cubic root of 349600414 is about 704.4615804214.

The spelling of 349600414 in words is "three hundred forty-nine million, six hundred thousand, four hundred fourteen".