384188320320 has 448 divisors, whose sum is σ = 1489170479616. Its totient is φ = 81914757120.

The previous prime is 384188320291. The next prime is 384188320331. The reversal of 384188320320 is 23023881483.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12894240 + ... + 12924000.

Almost surely, 2^384188320320 is an apocalyptic number.

384188320320 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 384188320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744585239808).

384188320320 is an abundant number, since it is smaller than the sum of its proper divisors (1104982159296).

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

384188320320 is a wasteful number, since it uses less digits than its factorization.

384188320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29918 (or 29908 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 384188320320 in words is "three hundred eighty-four billion, one hundred eighty-eight million, three hundred twenty thousand, three hundred twenty".