348136482288 has 320 divisors, whose sum is σ = 1100912394240. Its totient is φ = 92593622016.

The previous prime is 348136482283. The next prime is 348136482289. The reversal of 348136482288 is 882284631843.

It is a Harshad number since it is a multiple of its sum of digits (57).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348136482283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86750170 + ... + 86754182.

It is an arithmetic number, because the mean of its divisors is an integer number (3440351232).

Almost surely, 2^348136482288 is an apocalyptic number.

348136482288 is a gapful number since it is divisible by the number (38) 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 348136482288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550456197120).

348136482288 is an abundant number, since it is smaller than the sum of its proper divisors (752775911952).

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

348136482288 is a wasteful number, since it uses less digits than its factorization.

348136482288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4278 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 57.

The spelling of 348136482288 in words is "three hundred forty-eight billion, one hundred thirty-six million, four hundred eighty-two thousand, two hundred eighty-eight".