384289735680 has 132 divisors (see below), whose sum is σ = 1331554086252. Its totient is φ = 102477250560.

The previous prime is 384289735663. The next prime is 384289735681. The reversal of 384289735680 is 86537982483.

384289735680 is a `hidden beast` number, since 38 + 428 + 97 + 35 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96925123584 + 287364612096 = 311328^2 + 536064^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (384289735681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4123731 + ... + 4215890.

Almost surely, 2^384289735680 is an apocalyptic number.

384289735680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384289735680 is an abundant number, since it is smaller than the sum of its proper divisors (947264350572).

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

384289735680 is a wasteful number, since it uses less digits than its factorization.

384289735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8339652 (or 8339631 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 384289735680 in words is "three hundred eighty-four billion, two hundred eighty-nine million, seven hundred thirty-five thousand, six hundred eighty".