384583680 has 384 divisors, whose sum is σ = 1485993600. Its totient is φ = 93782016.

The previous prime is 384583679. The next prime is 384583687. The reversal of 384583680 is 86385483.

384583680 is a `hidden beast` number, since 3 + 8 + 4 + 583 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (384583687) 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, 3594187 + ... + 3594293.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775).

Almost surely, 2^384583680 is an apocalyptic number.

384583680 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 384583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742996800).

384583680 is an abundant number, since it is smaller than the sum of its proper divisors (1101409920).

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

384583680 is a wasteful number, since it uses less digits than its factorization.

384583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 384583680 is about 19610.8051848974. The cubic root of 384583680 is about 727.2163204737.

The spelling of 384583680 in words is "three hundred eighty-four million, five hundred eighty-three thousand, six hundred eighty".