349111296 has 264 divisors, whose sum is σ = 1108720704. Its totient is φ = 109486080.

The previous prime is 349111289. The next prime is 349111297. The reversal of 349111296 is 692111943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 349111296.

It is not an unprimeable number, because it can be changed into a prime (349111297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5723106 + ... + 5723166.

Almost surely, 2^349111296 is an apocalyptic number.

349111296 is a gapful number since it is divisible by the number (36) 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 349111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554360352).

349111296 is an abundant number, since it is smaller than the sum of its proper divisors (759609408).

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

349111296 is an equidigital number, since it uses as much as digits as its factorization.

349111296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 349111296 is about 18684.5202239715. The cubic root of 349111296 is about 704.1328950218.

The spelling of 349111296 in words is "three hundred forty-nine million, one hundred eleven thousand, two hundred ninety-six".