349722360 has 480 divisors, whose sum is σ = 1394094240. Its totient is φ = 78008832.

The previous prime is 349722349. The next prime is 349722361. The reversal of 349722360 is 63227943.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349722361) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15205309 + ... + 15205331.

It is an arithmetic number, because the mean of its divisors is an integer number (2904363).

Almost surely, 2^349722360 is an apocalyptic number.

349722360 is a gapful number since it is divisible by the number (30) 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 349722360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697047120).

349722360 is an abundant number, since it is smaller than the sum of its proper divisors (1044371880).

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

349722360 is a wasteful number, since it uses less digits than its factorization.

349722360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 349722360 is about 18700.8652206255. The cubic root of 349722360 is about 704.5434799100.

The spelling of 349722360 in words is "three hundred forty-nine million, seven hundred twenty-two thousand, three hundred sixty".