349382896 has 40 divisors (see below), whose sum is σ = 710668800. Its totient is φ = 166176960.

The previous prime is 349382893. The next prime is 349382911. The reversal of 349382896 is 698283943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349382893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23295 + ... + 35233.

It is an arithmetic number, because the mean of its divisors is an integer number (17766720).

Almost surely, 2^349382896 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 349382896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355334400).

349382896 is an abundant number, since it is smaller than the sum of its proper divisors (361285904).

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

349382896 is a wasteful number, since it uses less digits than its factorization.

349382896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12037 (or 12031 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 52.

The square root of 349382896 is about 18691.7868594739. The cubic root of 349382896 is about 704.3154470465.

The spelling of 349382896 in words is "three hundred forty-nine million, three hundred eighty-two thousand, eight hundred ninety-six".