349224960 has 360 divisors, whose sum is σ = 1344757680. Its totient is φ = 77070336.

The previous prime is 349224947. The next prime is 349224977. The reversal of 349224960 is 69422943.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12042226 + ... + 12042254.

It is an arithmetic number, because the mean of its divisors is an integer number (3735438).

Almost surely, 2^349224960 is an apocalyptic number.

349224960 is a gapful number since it is divisible by the number (30) 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 349224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672378840).

349224960 is an abundant number, since it is smaller than the sum of its proper divisors (995532720).

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

349224960 is an equidigital number, since it uses as much as digits as its factorization.

349224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 349224960 is about 18687.5616386943. The cubic root of 349224960 is about 704.2093041574.

The spelling of 349224960 in words is "three hundred forty-nine million, two hundred twenty-four thousand, nine hundred sixty".