348489803450880 has 4800 divisors, whose sum is σ = 1614512383656480. Its totient is φ = 71166748262400.

The previous prime is 348489803450809. The next prime is 348489803450911. The reversal of 348489803450880 is 88054308984843.

348489803450880 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 8 + 9 + 8 + 0 + 34 + 508 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 13000466739456 + 335489336711424 = 3605616^2 + 18316368^2 .

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 = 348489803450799 and 348489803450808.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1240177236340 + ... + 1240177236620.

Almost surely, 2^{348489803450880} is an apocalyptic number.

348489803450880 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 348489803450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807256191828240).

348489803450880 is an abundant number, since it is smaller than the sum of its proper divisors (1266022580205600).

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

348489803450880 is a wasteful number, since it uses less digits than its factorization.

348489803450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 849346560, while the sum is 72.

The spelling of 348489803450880 in words is "three hundred forty-eight trillion, four hundred eighty-nine billion, eight hundred three million, four hundred fifty thousand, eight hundred eighty".