349095968 has 96 divisors (see below), whose sum is σ = 806500800. Its totient is φ = 147280896.

The previous prime is 349095917. The next prime is 349095977. The reversal of 349095968 is 869590943.

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 15 ways as a sum of consecutive naturals, for example, 228455 + ... + 229977.

It is an arithmetic number, because the mean of its divisors is an integer number (8401050).

Almost surely, 2^349095968 is an apocalyptic number.

349095968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349095968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403250400).

349095968 is an abundant number, since it is smaller than the sum of its proper divisors (457404832).

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

349095968 is a wasteful number, since it uses less digits than its factorization.

349095968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 53.

The square root of 349095968 is about 18684.1100403525. The cubic root of 349095968 is about 704.1225897056.

The spelling of 349095968 in words is "three hundred forty-nine million, ninety-five thousand, nine hundred sixty-eight".