349565472 has 72 divisors (see below), whose sum is σ = 998642736. Its totient is φ = 115986816.

The previous prime is 349565429. The next prime is 349565479. The reversal of 349565472 is 274565943.

349565472 is a `hidden beast` number, since 3 + 49 + 565 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (349565479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62703 + ... + 68049.

It is an arithmetic number, because the mean of its divisors is an integer number (13870038).

Almost surely, 2^349565472 is an apocalyptic number.

349565472 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 349565472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499321368).

349565472 is an abundant number, since it is smaller than the sum of its proper divisors (649077264).

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

349565472 is a wasteful number, since it uses less digits than its factorization.

349565472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590 (or 5579 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 349565472 is about 18696.6700778508. The cubic root of 349565472 is about 704.4381097048.

The spelling of 349565472 in words is "three hundred forty-nine million, five hundred sixty-five thousand, four hundred seventy-two".