349119288 has 128 divisors (see below), whose sum is σ = 1123852800. Its totient is φ = 98350848.

The previous prime is 349119269. The next prime is 349119289. The reversal of 349119288 is 882911943.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349119289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108795 + ... + 111957.

It is an arithmetic number, because the mean of its divisors is an integer number (8780100).

Almost surely, 2^349119288 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 349119288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561926400).

349119288 is an abundant number, since it is smaller than the sum of its proper divisors (774733512).

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

349119288 is a wasteful number, since it uses less digits than its factorization.

349119288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3248 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 349119288 is about 18684.7340896251. The cubic root of 349119288 is about 704.1382680812.

The spelling of 349119288 in words is "three hundred forty-nine million, one hundred nineteen thousand, two hundred eighty-eight".