349130227968 has 90 divisors (see below), whose sum is σ = 1041043229534. Its totient is φ = 116376735744.

The previous prime is 349130227949. The next prime is 349130227973. The reversal of 349130227968 is 869722031943.

349130227968 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 302 + 279 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 349082452224 + 47775744 = 590832^2 + 6912^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8397721 + ... + 8439192.

Almost surely, 2^349130227968 is an apocalyptic number.

It is an amenable number.

349130227968 is an abundant number, since it is smaller than the sum of its proper divisors (691913001566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349130227968 is an equidigital number, since it uses as much as digits as its factorization.

349130227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16836941 (or 16836918 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 349130227968 in words is "three hundred forty-nine billion, one hundred thirty million, two hundred twenty-seven thousand, nine hundred sixty-eight".