348271763840 has 768 divisors, whose sum is σ = 1143464031360. Its totient is φ = 98683453440.

The previous prime is 348271763803. The next prime is 348271763849. The reversal of 348271763840 is 48367172843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348271763849) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 514433582 + ... + 514434258.

Almost surely, 2^348271763840 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 348271763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571732015680).

348271763840 is an abundant number, since it is smaller than the sum of its proper divisors (795192267520).

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

348271763840 is a wasteful number, since it uses less digits than its factorization.

348271763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 53.

It can be divided in two parts, 348271 and 763840, that added together give a palindrome (1112111).

The spelling of 348271763840 in words is "three hundred forty-eight billion, two hundred seventy-one million, seven hundred sixty-three thousand, eight hundred forty".