384741336 has 192 divisors, whose sum is σ = 1200009600. Its totient is φ = 102187008.

The previous prime is 384741311. The next prime is 384741337. The reversal of 384741336 is 633147483.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 384741294 and 384741303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384741337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1496920 + ... + 1497176.

It is an arithmetic number, because the mean of its divisors is an integer number (6250050).

Almost surely, 2^384741336 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 384741336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600004800).

384741336 is an abundant number, since it is smaller than the sum of its proper divisors (815268264).

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

384741336 is a wasteful number, since it uses less digits than its factorization.

384741336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 384741336 is about 19614.8243938099. The cubic root of 384741336 is about 727.3156784368.

The spelling of 384741336 in words is "three hundred eighty-four million, seven hundred forty-one thousand, three hundred thirty-six".