384858784 has 48 divisors (see below), whose sum is σ = 811377000. Its totient is φ = 179052544.

The previous prime is 384858781. The next prime is 384858833. The reversal of 384858784 is 487858483.

384858784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 320410000 + 64448784 = 17900^2 + 8028^2 .

It is not an unprimeable number, because it can be changed into a prime (384858781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44442 + ... + 52390.

Almost surely, 2^384858784 is an apocalyptic number.

384858784 is a gapful number since it is divisible by the number (34) 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 384858784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405688500).

384858784 is an abundant number, since it is smaller than the sum of its proper divisors (426518216).

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

384858784 is a wasteful number, since it uses less digits than its factorization.

384858784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8065 (or 8057 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 55.

The square root of 384858784 is about 19617.8180234194. The cubic root of 384858784 is about 727.3896788740.

The spelling of 384858784 in words is "three hundred eighty-four million, eight hundred fifty-eight thousand, seven hundred eighty-four".