349962353917201 has 8 divisors (see below), whose sum is σ = 350035882701120. Its totient is φ = 349888830714288.

The previous prime is 349962353917199. The next prime is 349962353917247. The reversal of 349962353917201 is 102719353269943.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 349962353917201 - 2¹ = 349962353917199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349962353917901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125234910 + ... + 127998856.

It is an arithmetic number, because the mean of its divisors is an integer number (43754485337640).

Almost surely, 2^{349962353917201} is an apocalyptic number.

It is an amenable number.

349962353917201 is a deficient number, since it is larger than the sum of its proper divisors (73528783919).

349962353917201 is a wasteful number, since it uses less digits than its factorization.

349962353917201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790503.

The product of its (nonzero) digits is 66134880, while the sum is 64.

The spelling of 349962353917201 in words is "three hundred forty-nine trillion, nine hundred sixty-two billion, three hundred fifty-three million, nine hundred seventeen thousand, two hundred one".