349445440 has 112 divisors (see below), whose sum is σ = 880750080. Its totient is φ = 131788800.

The previous prime is 349445413. The next prime is 349445441. The reversal of 349445440 is 44544943.

It is a super-2 number, since 2×349445440² = 244224231073587200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 349445440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349445441) by changing a digit.

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, 581140 + ... + 581740.

It is an arithmetic number, because the mean of its divisors is an integer number (7863840).

Almost surely, 2^349445440 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 349445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440375040).

349445440 is an abundant number, since it is smaller than the sum of its proper divisors (531304640).

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

349445440 is a wasteful number, since it uses less digits than its factorization.

349445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The square root of 349445440 is about 18693.4598188778. The cubic root of 349445440 is about 704.3574716920.

The spelling of 349445440 in words is "three hundred forty-nine million, four hundred forty-five thousand, four hundred forty".