348480000000 has 936 divisors, whose sum is σ = 1383027611784. Its totient is φ = 84480000000.

The previous prime is 348479999999. The next prime is 348480000041. The reversal of 348480000000 is 84843.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 344728682496 + 3751317504 = 587136^2 + 61248^2 .

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 71 ways as a sum of consecutive naturals, for example, 31679999995 + ... + 31680000005.

Almost surely, 2^348480000000 is an apocalyptic number.

348480000000 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 348480000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691513805892).

348480000000 is an abundant number, since it is smaller than the sum of its proper divisors (1034547611784).

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

348480000000 is an frugal number, since it uses more digits than its factorization.

348480000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 348480000000 its reverse (84843), we get a palindrome (348480084843).

The spelling of 348480000000 in words is "three hundred forty-eight billion, four hundred eighty million", and thus it is an aban number.