349680409 has 8 divisors (see below), whose sum is σ = 376737480. Its totient is φ = 322646016.

The previous prime is 349680371. The next prime is 349680473. The reversal of 349680409 is 904086943.

It can be written as a sum of positive squares in 4 ways, for example, as 198021184 + 151659225 = 14072^2 + 12315^2 .

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 349680409 - 2¹⁹ = 349156121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349680479) 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, 40089 + ... + 48025.

It is an arithmetic number, because the mean of its divisors is an integer number (47092185).

Almost surely, 2^349680409 is an apocalyptic number.

It is an amenable number.

349680409 is a deficient number, since it is larger than the sum of its proper divisors (27057071).

349680409 is a wasteful number, since it uses less digits than its factorization.

349680409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11339.

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 349680409 is about 18699.7435543913. The cubic root of 349680409 is about 704.5153075759.

The spelling of 349680409 in words is "three hundred forty-nine million, six hundred eighty thousand, four hundred nine".