349541460351 has 20 divisors (see below), whose sum is σ = 523400770200. Its totient is φ = 232471465776.

The previous prime is 349541460347. The next prime is 349541460419. The reversal of 349541460351 is 153064145943.

349541460351 is a `hidden beast` number, since 3 + 49 + 541 + 4 + 60 + 3 + 5 + 1 = 666.

It is not a de Polignac number, because 349541460351 - 2² = 349541460347 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 349541460297 and 349541460306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349541462351) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5115616 + ... + 5183493.

It is an arithmetic number, because the mean of its divisors is an integer number (26170038510).

Almost surely, 2^349541460351 is an apocalyptic number.

349541460351 is a deficient number, since it is larger than the sum of its proper divisors (173859309849).

349541460351 is a wasteful number, since it uses less digits than its factorization.

349541460351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10299540 (or 10299531 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 349541460351 in words is "three hundred forty-nine billion, five hundred forty-one million, four hundred sixty thousand, three hundred fifty-one".