384001920 has 192 divisors, whose sum is σ = 1337403600. Its totient is φ = 101523456.

The previous prime is 384001901. The next prime is 384001931. The reversal of 384001920 is 29100483.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 938676 + ... + 939084.

Almost surely, 2^384001920 is an apocalyptic number.

384001920 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 384001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668701800).

384001920 is an abundant number, since it is smaller than the sum of its proper divisors (953401680).

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

384001920 is a wasteful number, since it uses less digits than its factorization.

384001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 384001920 is about 19595.9669319990. The cubic root of 384001920 is about 726.8494485446.

The spelling of 384001920 in words is "three hundred eighty-four million, one thousand, nine hundred twenty".