348317081280 has 560 divisors, whose sum is σ = 1461730676736. Its totient is φ = 77045852160.

The previous prime is 348317081279. The next prime is 348317081351. The reversal of 348317081280 is 82180713843.

348317081280 is a `hidden beast` number, since 3 + 483 + 1 + 70 + 81 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×348317081280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5593677 + ... + 5655603.

Almost surely, 2^348317081280 is an apocalyptic number.

348317081280 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 348317081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730865338368).

348317081280 is an abundant number, since it is smaller than the sum of its proper divisors (1113413595456).

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

348317081280 is a wasteful number, since it uses less digits than its factorization.

348317081280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61994 (or 61975 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 348317081280 in words is "three hundred forty-eight billion, three hundred seventeen million, eighty-one thousand, two hundred eighty".