349494912 has 160 divisors (see below), whose sum is σ = 1120530180. Its totient is φ = 107495424.

The previous prime is 349494907. The next prime is 349494917. The reversal of 349494912 is 219494943.

It is an interprime number because it is at equal distance from previous prime (349494907) and next prime (349494917).

It can be written as a sum of positive squares in 2 ways, for example, as 342398016 + 7096896 = 18504^2 + 2664^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (349494917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133488 + ... + 136080.

Almost surely, 2^349494912 is an apocalyptic number.

349494912 is a gapful number since it is divisible by the number (32) 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 349494912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560265090).

349494912 is an abundant number, since it is smaller than the sum of its proper divisors (771035268).

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

349494912 is a wasteful number, since it uses less digits than its factorization.

349494912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2611 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 349494912 is about 18694.7830155902. The cubic root of 349494912 is about 704.3907094306.

The spelling of 349494912 in words is "three hundred forty-nine million, four hundred ninety-four thousand, nine hundred twelve".