349044640 has 108 divisors (see below), whose sum is σ = 963817218. Its totient is φ = 119105280.

The previous prime is 349044617. The next prime is 349044679. The reversal of 349044640 is 46440943.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 314140176 + 34904464 = 17724^2 + 5908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 349044596 and 349044605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1654135 + ... + 1654345.

Almost surely, 2^349044640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481908609).

349044640 is an abundant number, since it is smaller than the sum of its proper divisors (614772578).

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

349044640 is an equidigital number, since it uses as much as digits as its factorization.

349044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 349044640 is about 18682.7364162748. The cubic root of 349044640 is about 704.0880786837.

The spelling of 349044640 in words is "three hundred forty-nine million, forty-four thousand, six hundred forty".