349200797 has 12 divisors (see below), whose sum is σ = 387572640. Its totient is φ = 314361960.

The previous prime is 349200779. The next prime is 349200799. The reversal of 349200797 is 797002943.

It is not a de Polignac number, because 349200797 - 2⁸ = 349200541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349200799) 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 11 ways as a sum of consecutive naturals, for example, 1547 + ... + 26472.

It is an arithmetic number, because the mean of its divisors is an integer number (32297720).

Almost surely, 2^349200797 is an apocalyptic number.

It is an amenable number.

349200797 is a deficient number, since it is larger than the sum of its proper divisors (38371843).

349200797 is a wasteful number, since it uses less digits than its factorization.

349200797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28144 (or 28133 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 41.

The square root of 349200797 is about 18686.9151279712. The cubic root of 349200797 is about 704.1930622849.

The spelling of 349200797 in words is "three hundred forty-nine million, two hundred thousand, seven hundred ninety-seven".