348382588680 has 512 divisors, whose sum is σ = 1434802176000. Its totient is φ = 73399219200.

The previous prime is 348382588621. The next prime is 348382588709. The reversal of 348382588680 is 86885283843.

348382588680 is a `hidden beast` number, since 3 + 48 + 3 + 8 + 2 + 588 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5281905 + ... + 5347455.

It is an arithmetic number, because the mean of its divisors is an integer number (2802348000).

Almost surely, 2^348382588680 is an apocalyptic number.

348382588680 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 348382588680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717401088000).

348382588680 is an abundant number, since it is smaller than the sum of its proper divisors (1086419587320).

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

348382588680 is a wasteful number, since it uses less digits than its factorization.

348382588680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65634 (or 65624 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 348382588680 in words is "three hundred forty-eight billion, three hundred eighty-two million, five hundred eighty-eight thousand, six hundred eighty".