349646401 has 16 divisors (see below), whose sum is σ = 391523328. Its totient is φ = 310147200.

The previous prime is 349646393. The next prime is 349646441. The reversal of 349646401 is 104646943.

It is a cyclic number.

It is not a de Polignac number, because 349646401 - 2³ = 349646393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349646441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30816 + ... + 40606.

It is an arithmetic number, because the mean of its divisors is an integer number (24470208).

Almost surely, 2^349646401 is an apocalyptic number.

It is an amenable number.

349646401 is a deficient number, since it is larger than the sum of its proper divisors (41876927).

349646401 is a wasteful number, since it uses less digits than its factorization.

349646401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9912.

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 349646401 is about 18698.8342149985. The cubic root of 349646401 is about 704.4924677364.

The spelling of 349646401 in words is "three hundred forty-nine million, six hundred forty-six thousand, four hundred one".