348482508000 has 768 divisors, whose sum is σ = 1280366051328. Its totient is φ = 82145280000.

The previous prime is 348482507981. The next prime is 348482508007. The reversal of 348482508000 is 805284843.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348482508007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 909875809 + ... + 909876191.

It is an arithmetic number, because the mean of its divisors is an integer number (1667143296).

Almost surely, 2^348482508000 is an apocalyptic number.

348482508000 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 348482508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640183025664).

348482508000 is an abundant number, since it is smaller than the sum of its proper divisors (931883543328).

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

348482508000 is a wasteful number, since it uses less digits than its factorization.

348482508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 348482508000 in words is "three hundred forty-eight billion, four hundred eighty-two million, five hundred eight thousand".