384864410880 has 288 divisors, whose sum is σ = 1382605096320. Its totient is φ = 102629763072.

The previous prime is 384864410869. The next prime is 384864410899. The reversal of 384864410880 is 88014468483.

384864410880 is a `hidden beast` number, since 38 + 486 + 44 + 10 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×384864410880² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2730619 + ... + 2868101.

It is an arithmetic number, because the mean of its divisors is an integer number (4800712140).

Almost surely, 2^384864410880 is an apocalyptic number.

384864410880 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 384864410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691302548160).

384864410880 is an abundant number, since it is smaller than the sum of its proper divisors (997740685440).

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

384864410880 is an frugal number, since it uses more digits than its factorization.

384864410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137525 (or 137493 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 384864410880 in words is "three hundred eighty-four billion, eight hundred sixty-four million, four hundred ten thousand, eight hundred eighty".