348339878640 has 240 divisors, whose sum is σ = 1260270691680. Its totient is φ = 85715159040.

The previous prime is 348339878639. The next prime is 348339878671. The reversal of 348339878640 is 46878933843.

348339878640 is a `hidden beast` number, since 3 + 483 + 3 + 98 + 7 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39485430 + ... + 39494250.

It is an arithmetic number, because the mean of its divisors is an integer number (5251127882).

Almost surely, 2^348339878640 is an apocalyptic number.

348339878640 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 348339878640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630135345840).

348339878640 is an abundant number, since it is smaller than the sum of its proper divisors (911930813040).

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

348339878640 is a wasteful number, since it uses less digits than its factorization.

348339878640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13072 (or 13063 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 348339878640 in words is "three hundred forty-eight billion, three hundred thirty-nine million, eight hundred seventy-eight thousand, six hundred forty".