348003863680 has 128 divisors (see below), whose sum is σ = 912595844160. Its totient is φ = 125847244800.

The previous prime is 348003863591. The next prime is 348003863731. The reversal of 348003863680 is 86368300843.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×348003863680² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137687 + ... + 1410793.

Almost surely, 2^348003863680 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 348003863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456297922080).

348003863680 is an abundant number, since it is smaller than the sum of its proper divisors (564591980480).

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

348003863680 is a wasteful number, since it uses less digits than its factorization.

348003863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273318 (or 273306 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The spelling of 348003863680 in words is "three hundred forty-eight billion, three million, eight hundred sixty-three thousand, six hundred eighty".