4349838380688 has 60 divisors (see below), whose sum is σ = 12702788904000. Its totient is φ = 1386904989888.

The previous prime is 4349838380669. The next prime is 4349838380737. The reversal of 4349838380688 is 8860838389434.

It is a happy number.

4349838380688 is a `hidden beast` number, since 4 + 3 + 4 + 98 + 383 + 80 + 6 + 88 = 666.

It is a super-3 number, since 3×4349838380688³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 656675188 + ... + 656681811.

It is an arithmetic number, because the mean of its divisors is an integer number (211713148400).

Almost surely, 2^{4349838380688} is an apocalyptic number.

4349838380688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4349838380688 is an abundant number, since it is smaller than the sum of its proper divisors (8352950523312).

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

4349838380688 is a wasteful number, since it uses less digits than its factorization.

4349838380688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313357036 (or 1313357027 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 4349838380688 in words is "four trillion, three hundred forty-nine billion, eight hundred thirty-eight million, three hundred eighty thousand, six hundred eighty-eight".