349362816 has 192 divisors, whose sum is σ = 1044039360. Its totient is φ = 103403520.

The previous prime is 349362809. The next prime is 349362817. The reversal of 349362816 is 618263943.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (186624) is a multiple of the sum of its prime divisors (192).

It is not an unprimeable number, because it can be changed into a prime (349362817) 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, 3391821 + ... + 3391923.

It is an arithmetic number, because the mean of its divisors is an integer number (5437705).

Almost surely, 2^349362816 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 349362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522019680).

349362816 is an abundant number, since it is smaller than the sum of its proper divisors (694676544).

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

349362816 is a wasteful number, since it uses less digits than its factorization.

349362816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 349362816 is about 18691.2497174480. The cubic root of 349362816 is about 704.3019538033.

The spelling of 349362816 in words is "three hundred forty-nine million, three hundred sixty-two thousand, eight hundred sixteen".