348589536768 has 400 divisors, whose sum is σ = 1184419120896. Its totient is φ = 101037404160.

The previous prime is 348589536749. The next prime is 348589536781. The reversal of 348589536768 is 867635985843.

It is a happy number.

348589536768 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 89 + 536 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 348589536696 and 348589536705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10475805 + ... + 10509027.

Almost surely, 2^348589536768 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 348589536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592209560448).

348589536768 is an abundant number, since it is smaller than the sum of its proper divisors (835829584128).

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

348589536768 is a wasteful number, since it uses less digits than its factorization.

348589536768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33287 (or 33262 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 348589536768 in words is "three hundred forty-eight billion, five hundred eighty-nine million, five hundred thirty-six thousand, seven hundred sixty-eight".