384052776 has 64 divisors (see below), whose sum is σ = 1017062400. Its totient is φ = 120512448.

The previous prime is 384052751. The next prime is 384052783. The reversal of 384052776 is 677250483.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71745 + ... + 76911.

It is an arithmetic number, because the mean of its divisors is an integer number (15891600).

Almost surely, 2^384052776 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 384052776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508531200).

384052776 is an abundant number, since it is smaller than the sum of its proper divisors (633009624).

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

384052776 is a wasteful number, since it uses less digits than its factorization.

384052776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 384052776 is about 19597.2645029861. The cubic root of 384052776 is about 726.8815343423.

It can be divided in two parts, 3840 and 52776, that added together give a triangular number (56616 = T₃₃₆).

The spelling of 384052776 in words is "three hundred eighty-four million, fifty-two thousand, seven hundred seventy-six".