384813696 has 64 divisors (see below), whose sum is σ = 1037486880. Its totient is φ = 126348288.

The previous prime is 384813677. The next prime is 384813697. The reversal of 384813696 is 696318483.

384813696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (384813697) 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, 18250 + ... + 33206.

Almost surely, 2^384813696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518743440).

384813696 is an abundant number, since it is smaller than the sum of its proper divisors (652673184).

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

384813696 is a wasteful number, since it uses less digits than its factorization.

384813696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15041 (or 15029 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 384813696 is about 19616.6688303596. The cubic root of 384813696 is about 727.3612720678.

The spelling of 384813696 in words is "three hundred eighty-four million, eight hundred thirteen thousand, six hundred ninety-six".