349100541 has 12 divisors (see below), whose sum is σ = 509250300. Its totient is φ = 230428800.

The previous prime is 349100533. The next prime is 349100569. The reversal of 349100541 is 145001943.

349100541 is a `hidden beast` number, since 34 + 91 + 0 + 0 + 541 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 297562500 + 51538041 = 17250^2 + 7179^2 .

It is not a de Polignac number, because 349100541 - 2³ = 349100533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349100341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191116 + ... + 192933.

It is an arithmetic number, because the mean of its divisors is an integer number (42437525).

Almost surely, 2^349100541 is an apocalyptic number.

It is an amenable number.

349100541 is a deficient number, since it is larger than the sum of its proper divisors (160149759).

349100541 is a wasteful number, since it uses less digits than its factorization.

349100541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384156 (or 384153 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 349100541 is about 18684.2324166662. The cubic root of 349100541 is about 704.1256642551.

The spelling of 349100541 in words is "three hundred forty-nine million, one hundred thousand, five hundred forty-one".