384097920 has 128 divisors (see below), whose sum is σ = 1288872000. Its totient is φ = 97026048.

The previous prime is 384097919. The next prime is 384097933. The reversal of 384097920 is 29790483.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31216 + ... + 41744.

Almost surely, 2^384097920 is an apocalyptic number.

384097920 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 384097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644436000).

384097920 is an abundant number, since it is smaller than the sum of its proper divisors (904774080).

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

384097920 is a wasteful number, since it uses less digits than its factorization.

384097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10570 (or 10558 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 384097920 is about 19598.4162625453. The cubic root of 384097920 is about 726.9100139823.

The spelling of 384097920 in words is "three hundred eighty-four million, ninety-seven thousand, nine hundred twenty".