384895680 has 112 divisors (see below), whose sum is σ = 1316089824. Its totient is φ = 94740480.

The previous prime is 384895633. The next prime is 384895681. The reversal of 384895680 is 86598483.

It is not an unprimeable number, because it can be changed into a prime (384895681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2941 + ... + 27900.

It is an arithmetic number, because the mean of its divisors is an integer number (11750802).

Almost surely, 2^384895680 is an apocalyptic number.

384895680 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 384895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658044912).

384895680 is an abundant number, since it is smaller than the sum of its proper divisors (931194144).

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

384895680 is a wasteful number, since it uses less digits than its factorization.

384895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30874 (or 30864 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 384895680 is about 19618.7583704984. The cubic root of 384895680 is about 727.4129228214.

The spelling of 384895680 in words is "three hundred eighty-four million, eight hundred ninety-five thousand, six hundred eighty".