349980241 has 24 divisors (see below), whose sum is σ = 408047544. Its totient is φ = 298920960.

The previous prime is 349980221. The next prime is 349980277. The reversal of 349980241 is 142089943.

It can be written as a sum of positive squares in 12 ways, for example, as 315417600 + 34562641 = 17760^2 + 5879^2 .

It is not a de Polignac number, because 349980241 - 2²⁷ = 215762513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 349980194 and 349980203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349980221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174255 + ... + 176251.

It is an arithmetic number, because the mean of its divisors is an integer number (17001981).

Almost surely, 2^349980241 is an apocalyptic number.

It is an amenable number.

349980241 is a deficient number, since it is larger than the sum of its proper divisors (58067303).

349980241 is a wasteful number, since it uses less digits than its factorization.

349980241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 349980241 is about 18707.7588449285. The cubic root of 349980241 is about 704.7166112831.

The spelling of 349980241 in words is "three hundred forty-nine million, nine hundred eighty thousand, two hundred forty-one".