349690896 has 120 divisors (see below), whose sum is σ = 1075139520. Its totient is φ = 105608448.

The previous prime is 349690883. The next prime is 349690897. The reversal of 349690896 is 698096943.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (349690897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60150 + ... + 65706.

It is an arithmetic number, because the mean of its divisors is an integer number (8959496).

Almost surely, 2^349690896 is an apocalyptic number.

349690896 is a gapful number since it is divisible by the number (36) 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 349690896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537569760).

349690896 is an abundant number, since it is smaller than the sum of its proper divisors (725448624).

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

349690896 is a wasteful number, since it uses less digits than its factorization.

349690896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 349690896 is about 18700.0239572039. The cubic root of 349690896 is about 704.5223503670.

The spelling of 349690896 in words is "three hundred forty-nine million, six hundred ninety thousand, eight hundred ninety-six".