348384832128 has 192 divisors, whose sum is σ = 1015688419200. Its totient is φ = 114605236224.

The previous prime is 348384832097. The next prime is 348384832193. The reversal of 348384832128 is 821238483843.

348384832128 is a `hidden beast` number, since 3 + 4 + 8 + 38 + 483 + 2 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142371001 + ... + 142373447.

It is an arithmetic number, because the mean of its divisors is an integer number (5290043850).

Almost surely, 2^348384832128 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 348384832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507844209600).

348384832128 is an abundant number, since it is smaller than the sum of its proper divisors (667303587072).

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

348384832128 is a wasteful number, since it uses less digits than its factorization.

348384832128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4024 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 348384832128 in words is "three hundred forty-eight billion, three hundred eighty-four million, eight hundred thirty-two thousand, one hundred twenty-eight".