349559712 has 120 divisors (see below), whose sum is σ = 1088655876. Its totient is φ = 109651968.

The previous prime is 349559711. The next prime is 349559723. The reversal of 349559712 is 217955943.

It is a happy number.

349559712 is a `hidden beast` number, since 3 + 49 + 5 + 597 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 349091856 + 467856 = 18684^2 + 684^2 .

It is not an unprimeable number, because it can be changed into a prime (349559711) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40098 + ... + 48030.

Almost surely, 2^349559712 is an apocalyptic number.

349559712 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 349559712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544327938).

349559712 is an abundant number, since it is smaller than the sum of its proper divisors (739096164).

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

349559712 is a wasteful number, since it uses less digits than its factorization.

349559712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972 (or 7955 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 349559712 is about 18696.5160390913. The cubic root of 349559712 is about 704.4342405338.

The spelling of 349559712 in words is "three hundred forty-nine million, five hundred fifty-nine thousand, seven hundred twelve".