349305732 has 72 divisors (see below), whose sum is σ = 957777912. Its totient is φ = 106905600.

The previous prime is 349305707. The next prime is 349305757. The reversal of 349305732 is 237503943.

349305732 is a `hidden beast` number, since 349 + 305 + 7 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (349305707) and next prime (349305757).

It can be written as a sum of positive squares in 4 ways, for example, as 31539456 + 317766276 = 5616^2 + 17826^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18132 + ... + 32052.

It is an arithmetic number, because the mean of its divisors is an integer number (13302471).

Almost surely, 2^349305732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349305732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478888956).

349305732 is an abundant number, since it is smaller than the sum of its proper divisors (608472180).

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

349305732 is a wasteful number, since it uses less digits than its factorization.

349305732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13989 (or 13984 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 349305732 is about 18689.7226303656. The cubic root of 349305732 is about 704.2635920002.

The spelling of 349305732 in words is "three hundred forty-nine million, three hundred five thousand, seven hundred thirty-two".