349840896 has 80 divisors (see below), whose sum is σ = 935938608. Its totient is φ = 116121600.

The previous prime is 349840861. The next prime is 349840903. The reversal of 349840896 is 698048943.

It is a happy number.

349840896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646386 + ... + 646926.

Almost surely, 2^349840896 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 349840896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467969304).

349840896 is an abundant number, since it is smaller than the sum of its proper divisors (586097712).

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

349840896 is an equidigital number, since it uses as much as digits as its factorization.

349840896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 349840896 is about 18704.0342172484. The cubic root of 349840896 is about 704.6230709816.

The spelling of 349840896 in words is "three hundred forty-nine million, eight hundred forty thousand, eight hundred ninety-six".