384347532069 has 48 divisors (see below), whose sum is σ = 603904412592. Its totient is φ = 234566959104.

The previous prime is 384347532067. The next prime is 384347532089. The reversal of 384347532069 is 960235743483.

384347532069 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 47 + 532 + 0 + 69 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 84936107844 + 299411424225 = 291438^2 + 547185^2 .

It is not a de Polignac number, because 384347532069 - 2¹ = 384347532067 is a prime.

It is a super-3 number, since 3×384347532069³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384347532061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21689757 + ... + 21707469.

It is an arithmetic number, because the mean of its divisors is an integer number (12581341929).

Almost surely, 2^384347532069 is an apocalyptic number.

It is an amenable number.

384347532069 is a deficient number, since it is larger than the sum of its proper divisors (219556880523).

384347532069 is a wasteful number, since it uses less digits than its factorization.

384347532069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21606 (or 21603 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 384347532069 in words is "three hundred eighty-four billion, three hundred forty-seven million, five hundred thirty-two thousand, sixty-nine".