349586432 has 44 divisors (see below), whose sum is σ = 752616396. Its totient is φ = 161341440.

The previous prime is 349586399. The next prime is 349586437. The reversal of 349586432 is 234685943.

It can be written as a sum of positive squares in 2 ways, for example, as 19219456 + 330366976 = 4384^2 + 18176^2 .

It is not an unprimeable number, because it can be changed into a prime (349586437) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182 + ... + 26442.

Almost surely, 2^349586432 is an apocalyptic number.

349586432 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 349586432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376308198).

349586432 is an abundant number, since it is smaller than the sum of its proper divisors (403029964).

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

349586432 is a wasteful number, since it uses less digits than its factorization.

349586432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26294 (or 26276 counting only the distinct ones).

The product of its digits is 622080, while the sum is 44.

The square root of 349586432 is about 18697.2305970697. The cubic root of 349586432 is about 704.4521888296.

The spelling of 349586432 in words is "three hundred forty-nine million, five hundred eighty-six thousand, four hundred thirty-two".