349018124257 has 24 divisors (see below), whose sum is σ = 403717921920. Its totient is φ = 298875830400.

The previous prime is 349018124233. The next prime is 349018124261. The reversal of 349018124257 is 752421810943.

It is not a de Polignac number, because 349018124257 - 2¹⁵ = 349018091489 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349018124267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210808 + ... + 861670.

It is an arithmetic number, because the mean of its divisors is an integer number (16821580080).

Almost surely, 2^349018124257 is an apocalyptic number.

It is an amenable number.

349018124257 is a deficient number, since it is larger than the sum of its proper divisors (54699797663).

349018124257 is a wasteful number, since it uses less digits than its factorization.

349018124257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650985 (or 650944 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 349018124257 in words is "three hundred forty-nine billion, eighteen million, one hundred twenty-four thousand, two hundred fifty-seven".