348996480 has 256 divisors, whose sum is σ = 1327795200. Its totient is φ = 76234752.

The previous prime is 348996463. The next prime is 348996509. The reversal of 348996480 is 84699843.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 308556 + ... + 309684.

It is an arithmetic number, because the mean of its divisors is an integer number (5186700).

Almost surely, 2^348996480 is an apocalyptic number.

348996480 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 348996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663897600).

348996480 is an abundant number, since it is smaller than the sum of its proper divisors (978798720).

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

348996480 is a wasteful number, since it uses less digits than its factorization.

348996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 348996480 is about 18681.4474813918. The cubic root of 348996480 is about 704.0556946296.

The spelling of 348996480 in words is "three hundred forty-eight million, nine hundred ninety-six thousand, four hundred eighty".