349400392201 has 9 divisors (see below), whose sum is σ = 406450167501. Its totient is φ = 299482503852.

The previous prime is 349400392181. The next prime is 349400392217. The reversal of 349400392201 is 102293004943.

The square root of 349400392201 is 591101.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 349400392201 - 2⁷ = 349400392073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (349400392501) 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 8 ways as a sum of consecutive naturals, for example, 4095486 + ... + 4179928.

Almost surely, 2^349400392201 is an apocalyptic number.

349400392201 is the 591101-st square number.

349400392201 is the 295551-st centered octagonal number.

It is an amenable number.

349400392201 is a deficient number, since it is larger than the sum of its proper divisors (57049775300).

349400392201 is an frugal number, since it uses more digits than its factorization.

349400392201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168900 (or 84450 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 349400392201 in words is "three hundred forty-nine billion, four hundred million, three hundred ninety-two thousand, two hundred one".