384971776 has 88 divisors (see below), whose sum is σ = 900680000. Its totient is φ = 161021952.

The previous prime is 384971771. The next prime is 384971777. The reversal of 384971776 is 677179483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384971771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307600 + ... + 308848.

It is an arithmetic number, because the mean of its divisors is an integer number (10235000).

Almost surely, 2^384971776 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 384971776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450340000).

384971776 is an abundant number, since it is smaller than the sum of its proper divisors (515708224).

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

384971776 is a wasteful number, since it uses less digits than its factorization.

384971776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1301 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 52.

The square root of 384971776 is about 19620.6976430503. The cubic root of 384971776 is about 727.4608575123.

It can be divided in two parts, 3849 and 71776, that added together give a square (75625 = 275²).

The spelling of 384971776 in words is "three hundred eighty-four million, nine hundred seventy-one thousand, seven hundred seventy-six".