384280320 has 288 divisors, whose sum is σ = 1353945600. Its totient is φ = 92454912.

The previous prime is 384280313. The next prime is 384280321. The reversal of 384280320 is 23082483.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384280321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1677966 + ... + 1678194.

It is an arithmetic number, because the mean of its divisors is an integer number (4701200).

Almost surely, 2^384280320 is an apocalyptic number.

384280320 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 384280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676972800).

384280320 is an abundant number, since it is smaller than the sum of its proper divisors (969665280).

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

384280320 is a wasteful number, since it uses less digits than its factorization.

384280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

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

The square root of 384280320 is about 19603.0691474575. The cubic root of 384280320 is about 727.0250605172.

The spelling of 384280320 in words is "three hundred eighty-four million, two hundred eighty thousand, three hundred twenty".