348010861320 has 256 divisors, whose sum is σ = 1181761228800. Its totient is φ = 91075311360.

The previous prime is 348010861313. The next prime is 348010861343. The reversal of 348010861320 is 23168010843.

348010861320 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 10 + 8 + 613 + 20 = 666.

It is a super-2 number, since 2×348010861320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19600687 + ... + 19618433.

It is an arithmetic number, because the mean of its divisors is an integer number (4616254800).

Almost surely, 2^348010861320 is an apocalyptic number.

348010861320 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 348010861320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590880614400).

348010861320 is an abundant number, since it is smaller than the sum of its proper divisors (833750367480).

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

348010861320 is a wasteful number, since it uses less digits than its factorization.

348010861320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18105 (or 18095 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 348010861320 in words is "three hundred forty-eight billion, ten million, eight hundred sixty-one thousand, three hundred twenty".