384389376000 has 768 divisors, whose sum is σ = 1475766190080. Its totient is φ = 87013785600.

The previous prime is 384389375999. The next prime is 384389376013. The reversal of 384389376000 is 673983483.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 682751719 + ... + 682752281.

It is an arithmetic number, because the mean of its divisors is an integer number (1921570560).

Almost surely, 2^384389376000 is an apocalyptic number.

384389376000 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 384389376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737883095040).

384389376000 is an abundant number, since it is smaller than the sum of its proper divisors (1091376814080).

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

384389376000 is a wasteful number, since it uses less digits than its factorization.

384389376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 384389376000 in words is "three hundred eighty-four billion, three hundred eighty-nine million, three hundred seventy-six thousand".