349291072 has 28 divisors (see below), whose sum is σ = 746443516. Its totient is φ = 161210880.

The previous prime is 349291069. The next prime is 349291081. The reversal of 349291072 is 270192943.

It can be written as a sum of positive squares in 2 ways, for example, as 96353856 + 252937216 = 9816^2 + 15904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 209079 + ... + 210742.

It is an arithmetic number, because the mean of its divisors is an integer number (26658697).

Almost surely, 2^349291072 is an apocalyptic number.

349291072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

349291072 is an abundant number, since it is smaller than the sum of its proper divisors (397152444).

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

349291072 is a wasteful number, since it uses less digits than its factorization.

349291072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419846 (or 419836 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 349291072 is about 18689.3304320941. The cubic root of 349291072 is about 704.2537394577.

The spelling of 349291072 in words is "three hundred forty-nine million, two hundred ninety-one thousand, seventy-two".