349322112 has 128 divisors (see below), whose sum is σ = 1048519200. Its totient is φ = 114462720.

The previous prime is 349322107. The next prime is 349322159. The reversal of 349322112 is 211223943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209988 + ... + 211644.

Almost surely, 2^349322112 is an apocalyptic number.

349322112 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 349322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524259600).

349322112 is an abundant number, since it is smaller than the sum of its proper divisors (699197088).

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

349322112 is a wasteful number, since it uses less digits than its factorization.

349322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1723 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 349322112 is about 18690.1608339789. The cubic root of 349322112 is about 704.2746001766.

The spelling of 349322112 in words is "three hundred forty-nine million, three hundred twenty-two thousand, one hundred twelve".