384384000 has 704 divisors, whose sum is σ = 1716728832. Its totient is φ = 73728000.

The previous prime is 384383977. The next prime is 384384017. The reversal of 384384000 is 483483.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 29567994 + ... + 29568006.

Almost surely, 2^384384000 is an apocalyptic number.

384384000 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 384384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858364416).

384384000 is an abundant number, since it is smaller than the sum of its proper divisors (1332344832).

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

384384000 is a wasteful number, since it uses less digits than its factorization.

384384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 384384000 is about 19605.7134529708. The cubic root of 384384000 is about 727.0904391625.

The spelling of 384384000 in words is "three hundred eighty-four million, three hundred eighty-four thousand".