384161760 has 216 divisors, whose sum is σ = 1385453160. Its totient is φ = 96920064.

The previous prime is 384161747. The next prime is 384161761. The reversal of 384161760 is 67161483.

384161760 is a `hidden beast` number, since 38 + 4 + 1 + 617 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384161761) 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 35 ways as a sum of consecutive naturals, for example, 519471 + ... + 520209.

It is an arithmetic number, because the mean of its divisors is an integer number (6414135).

Almost surely, 2^384161760 is an apocalyptic number.

384161760 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 384161760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692726580).

384161760 is an abundant number, since it is smaller than the sum of its proper divisors (1001291400).

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

384161760 is a wasteful number, since it uses less digits than its factorization.

384161760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 384161760 is about 19600.0448979078. The cubic root of 384161760 is about 726.9502844117.

The spelling of 384161760 in words is "three hundred eighty-four million, one hundred sixty-one thousand, seven hundred sixty".