384012288000 has 768 divisors, whose sum is σ = 1511927052480. Its totient is φ = 92995584000.

The previous prime is 384012287977. The next prime is 384012288013. The reversal of 384012288000 is 882210483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405503527 + ... + 405504473.

Almost surely, 2^384012288000 is an apocalyptic number.

384012288000 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 384012288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755963526240).

384012288000 is an abundant number, since it is smaller than the sum of its proper divisors (1127914764480).

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

384012288000 is an equidigital number, since it uses as much as digits as its factorization.

384012288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 384012288000 its reverse (882210483), we get a palindrome (384894498483).

The spelling of 384012288000 in words is "three hundred eighty-four billion, twelve million, two hundred eighty-eight thousand".