349008201 has 12 divisors (see below), whose sum is σ = 505156080. Its totient is φ = 232195320.

The previous prime is 349008197. The next prime is 349008203. The reversal of 349008201 is 102800943.

It is not a de Polignac number, because 349008201 - 2² = 349008197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (349008203) 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, 35071 + ... + 43908.

It is an arithmetic number, because the mean of its divisors is an integer number (42096340).

Almost surely, 2^349008201 is an apocalyptic number.

It is an amenable number.

349008201 is a deficient number, since it is larger than the sum of its proper divisors (156147879).

349008201 is a wasteful number, since it uses less digits than its factorization.

349008201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79476 (or 79473 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 349008201 is about 18681.7611857127. The cubic root of 349008201 is about 704.0635764134.

The spelling of 349008201 in words is "three hundred forty-nine million, eight thousand, two hundred one".