349256320 has 256 divisors, whose sum is σ = 1023264000. Its totient is φ = 113799168.

The previous prime is 349256317. The next prime is 349256329. The reversal of 349256320 is 23652943.

It is not an unprimeable number, because it can be changed into a prime (349256329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8122219 + ... + 8122261.

It is an arithmetic number, because the mean of its divisors is an integer number (3997125).

Almost surely, 2^349256320 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 349256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511632000).

349256320 is an abundant number, since it is smaller than the sum of its proper divisors (674007680).

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

349256320 is an equidigital number, since it uses as much as digits as its factorization.

349256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 349256320 is about 18688.4006806361. The cubic root of 349256320 is about 704.2303825885.

The spelling of 349256320 in words is "three hundred forty-nine million, two hundred fifty-six thousand, three hundred twenty".