348482743776 has 240 divisors, whose sum is σ = 1087053216480. Its totient is φ = 109137715200.

The previous prime is 348482743771. The next prime is 348482743799. The reversal of 348482743776 is 677347284843.

348482743776 is a `hidden beast` number, since 3 + 48 + 482 + 7 + 43 + 7 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348482743771) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26475885 + ... + 26489043.

It is an arithmetic number, because the mean of its divisors is an integer number (4529388402).

Almost surely, 2^348482743776 is an apocalyptic number.

348482743776 is a gapful number since it is divisible by the number (36) 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 348482743776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543526608240).

348482743776 is an abundant number, since it is smaller than the sum of its proper divisors (738570472704).

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

348482743776 is a wasteful number, since it uses less digits than its factorization.

348482743776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13799 (or 13782 counting only the distinct ones).

The product of its digits is 151732224, while the sum is 63.

The spelling of 348482743776 in words is "three hundred forty-eight billion, four hundred eighty-two million, seven hundred forty-three thousand, seven hundred seventy-six".