348821368704 has 256 divisors, whose sum is σ = 1047930048000. Its totient is φ = 114205593600.

The previous prime is 348821368691. The next prime is 348821368729. The reversal of 348821368704 is 407863128843.

348821368704 is a `hidden beast` number, since 348 + 8 + 213 + 6 + 87 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68948127 + ... + 68953185.

It is an arithmetic number, because the mean of its divisors is an integer number (4093476750).

Almost surely, 2^348821368704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348821368704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523965024000).

348821368704 is an abundant number, since it is smaller than the sum of its proper divisors (699108679296).

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

348821368704 is a wasteful number, since it uses less digits than its factorization.

348821368704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 348821368704 in words is "three hundred forty-eight billion, eight hundred twenty-one million, three hundred sixty-eight thousand, seven hundred four".