349346304 has 160 divisors (see below), whose sum is σ = 1063592640. Its totient is φ = 113135616.

The previous prime is 349346303. The next prime is 349346351. The reversal of 349346304 is 403643943.

It is a happy number.

349346304 is a `hidden beast` number, since 3 + 4 + 9 + 346 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (349346303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511147 + ... + 511829.

It is an arithmetic number, because the mean of its divisors is an integer number (6647454).

Almost surely, 2^349346304 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 349346304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531796320).

349346304 is an abundant number, since it is smaller than the sum of its proper divisors (714246336).

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

349346304 is an equidigital number, since it uses as much as digits as its factorization.

349346304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 349346304 is about 18690.8080082162. The cubic root of 349346304 is about 704.2908577769.

The spelling of 349346304 in words is "three hundred forty-nine million, three hundred forty-six thousand, three hundred four".