349765632 has 102 divisors (see below), whose sum is σ = 1012130262. Its totient is φ = 116391936.

The previous prime is 349765613. The next prime is 349765673. The reversal of 349765632 is 236567943.

349765632 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 6 + 5 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 312016896 + 37748736 = 17664^2 + 6144^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589528 + ... + 590120.

Almost surely, 2^349765632 is an apocalyptic number.

349765632 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 349765632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506065131).

349765632 is an abundant number, since it is smaller than the sum of its proper divisors (662364630).

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

349765632 is an frugal number, since it uses more digits than its factorization.

349765632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 598 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 349765632 is about 18702.0221366568. The cubic root of 349765632 is about 704.5725370056.

The spelling of 349765632 in words is "three hundred forty-nine million, seven hundred sixty-five thousand, six hundred thirty-two".