349161072 has 80 divisors (see below), whose sum is σ = 987415968. Its totient is φ = 105661440.

The previous prime is 349161067. The next prime is 349161083. The reversal of 349161072 is 270161943.

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, 33478 + ... + 42650.

Almost surely, 2^349161072 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 349161072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493707984).

349161072 is an abundant number, since it is smaller than the sum of its proper divisors (638254896).

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

349161072 is a wasteful number, since it uses less digits than its factorization.

349161072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258 (or 9252 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 349161072 is about 18685.8521882198. The cubic root of 349161072 is about 704.1663583269.

The spelling of 349161072 in words is "three hundred forty-nine million, one hundred sixty-one thousand, seventy-two".