384332376960 has 1536 divisors, whose sum is σ = 1754698982400. Its totient is φ = 78256668672.

The previous prime is 384332376949. The next prime is 384332376971. The reversal of 384332376960 is 69673233483.

384332376960 is a `hidden beast` number, since 38 + 433 + 23 + 76 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (384332376949) and next prime (384332376971).

It is a super-2 number, since 2×384332376960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 384332376897 and 384332376906.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 351630174 + ... + 351631266.

It is an arithmetic number, because the mean of its divisors is an integer number (1142382150).

Almost surely, 2^384332376960 is an apocalyptic number.

384332376960 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 384332376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877349491200).

384332376960 is an abundant number, since it is smaller than the sum of its proper divisors (1370366605440).

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

384332376960 is a wasteful number, since it uses less digits than its factorization.

384332376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 384332376960 in words is "three hundred eighty-four billion, three hundred thirty-two million, three hundred seventy-six thousand, nine hundred sixty".