349850112 has 80 divisors (see below), whose sum is σ = 936904320. Its totient is φ = 116006912.

The previous prime is 349850077. The next prime is 349850131. The reversal of 349850112 is 211058943.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366628 + ... + 367580.

It is an arithmetic number, because the mean of its divisors is an integer number (11711304).

Almost surely, 2^349850112 is an apocalyptic number.

349850112 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 349850112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468452160).

349850112 is an abundant number, since it is smaller than the sum of its proper divisors (587054208).

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

349850112 is an equidigital number, since it uses as much as digits as its factorization.

349850112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 349850112 is about 18704.2805795893. The cubic root of 349850112 is about 704.6292583173.

The spelling of 349850112 in words is "three hundred forty-nine million, eight hundred fifty thousand, one hundred twelve".