348613681680 has 320 divisors, whose sum is σ = 1313544499200. Its totient is φ = 84280020480.

The previous prime is 348613681621. The next prime is 348613681697. The reversal of 348613681680 is 86186316843.

348613681680 is a `hidden beast` number, since 3 + 4 + 8 + 613 + 6 + 8 + 16 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 8699931 + ... + 8739909.

It is an arithmetic number, because the mean of its divisors is an integer number (4104826560).

Almost surely, 2^348613681680 is an apocalyptic number.

348613681680 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 348613681680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656772249600).

348613681680 is an abundant number, since it is smaller than the sum of its proper divisors (964930817520).

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

348613681680 is a wasteful number, since it uses less digits than its factorization.

348613681680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40379 (or 40367 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 348613681680 in words is "three hundred forty-eight billion, six hundred thirteen million, six hundred eighty-one thousand, six hundred eighty".