348192768 has 272 divisors, whose sum is σ = 1207950336. Its totient is φ = 86507520.

The previous prime is 348192749. The next prime is 348192773. The reversal of 348192768 is 867291843.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15138805 + ... + 15138827.

Almost surely, 2^348192768 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 348192768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603975168).

348192768 is an abundant number, since it is smaller than the sum of its proper divisors (859757568).

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

348192768 is an equidigital number, since it uses as much as digits as its factorization.

348192768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 348192768 is about 18659.9241156013. The cubic root of 348192768 is about 703.5148172136.

The spelling of 348192768 in words is "three hundred forty-eight million, one hundred ninety-two thousand, seven hundred sixty-eight".