348305106240 has 1680 divisors, whose sum is σ = 1579849552512. Its totient is φ = 71269466112.

The previous prime is 348305106217. The next prime is 348305106257. The reversal of 348305106240 is 42601503843.

348305106240 is a `hidden beast` number, since 3 + 4 + 8 + 305 + 106 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 348305106195 and 348305106204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1134544167 + ... + 1134544473.

Almost surely, 2^348305106240 is an apocalyptic number.

348305106240 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 348305106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789924776256).

348305106240 is an abundant number, since it is smaller than the sum of its proper divisors (1231544446272).

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

348305106240 is a wasteful number, since it uses less digits than its factorization.

348305106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 348305106240 in words is "three hundred forty-eight billion, three hundred five million, one hundred six thousand, two hundred forty".