349824057 has 16 divisors (see below), whose sum is σ = 525250560. Its totient is φ = 205174800.

The previous prime is 349824047. The next prime is 349824073. The reversal of 349824057 is 750428943.

It is not a de Polignac number, because 349824057 - 2²⁰ = 348775481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (349824017) 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, 169957 + ... + 172002.

It is an arithmetic number, because the mean of its divisors is an integer number (32828160).

Almost surely, 2^349824057 is an apocalyptic number.

It is an amenable number.

349824057 is a deficient number, since it is larger than the sum of its proper divisors (175426503).

349824057 is a wasteful number, since it uses less digits than its factorization.

349824057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342004.

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 349824057 is about 18703.5840683009. The cubic root of 349824057 is about 704.6117655202.

The spelling of 349824057 in words is "three hundred forty-nine million, eight hundred twenty-four thousand, fifty-seven".