348768322560 has 1760 divisors, whose sum is σ = 1561355440128. Its totient is φ = 72619130880.

The previous prime is 348768322541. The next prime is 348768322561. The reversal of 348768322560 is 65223867843.

348768322560 is a `hidden beast` number, since 3 + 4 + 8 + 76 + 8 + 3 + 2 + 2 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 348768322497 and 348768322506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348768322561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1826012065 + ... + 1826012255.

Almost surely, 2^348768322560 is an apocalyptic number.

348768322560 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 348768322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780677720064).

348768322560 is an abundant number, since it is smaller than the sum of its proper divisors (1212587117568).

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

348768322560 is a wasteful number, since it uses less digits than its factorization.

348768322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 348768322560 in words is "three hundred forty-eight billion, seven hundred sixty-eight million, three hundred twenty-two thousand, five hundred sixty".