348030606960 has 720 divisors, whose sum is σ = 1282059657216. Its totient is φ = 87686032896.

The previous prime is 348030606943. The next prime is 348030606961. The reversal of 348030606960 is 69606030843.

348030606960 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 30 + 606 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×348030606960² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348030606961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1533174367 + ... + 1533174593.

Almost surely, 2^348030606960 is an apocalyptic number.

348030606960 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 348030606960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641029828608).

348030606960 is an abundant number, since it is smaller than the sum of its proper divisors (934029050256).

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

348030606960 is a wasteful number, since it uses less digits than its factorization.

348030606960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 348030606960 in words is "three hundred forty-eight billion, thirty million, six hundred six thousand, nine hundred sixty".