348079680 has 280 divisors, whose sum is σ = 1334716152. Its totient is φ = 85598208.

The previous prime is 348079679. The next prime is 348079703. The reversal of 348079680 is 86970843.

It is a happy number.

348079680 is a `hidden beast` number, since 3 + 480 + 7 + 96 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59351616 + 288728064 = 7704^2 + 16992^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336444 + ... + 337476.

Almost surely, 2^348079680 is an apocalyptic number.

348079680 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 348079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667358076).

348079680 is an abundant number, since it is smaller than the sum of its proper divisors (986636472).

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

348079680 is a wasteful number, since it uses less digits than its factorization.

348079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 348079680 is about 18656.8936321136. The cubic root of 348079680 is about 703.4386451372.

The spelling of 348079680 in words is "three hundred forty-eight million, seventy-nine thousand, six hundred eighty".