349944320 has 240 divisors, whose sum is σ = 994945248. Its totient is φ = 116981760.

The previous prime is 349944293. The next prime is 349944323. The reversal of 349944320 is 23449943.

It is a super-2 number, since 2×349944320² = 244922054200524800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (349944323) 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 23 ways as a sum of consecutive naturals, for example, 8138219 + ... + 8138261.

Almost surely, 2^349944320 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 349944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497472624).

349944320 is an abundant number, since it is smaller than the sum of its proper divisors (645000928).

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

349944320 is a wasteful number, since it uses less digits than its factorization.

349944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The square root of 349944320 is about 18706.7987640857. The cubic root of 349944320 is about 704.6925004062.

The spelling of 349944320 in words is "three hundred forty-nine million, nine hundred forty-four thousand, three hundred twenty".