384319152 has 240 divisors, whose sum is σ = 1299916800. Its totient is φ = 105840000.

The previous prime is 384319151. The next prime is 384319207. The reversal of 384319152 is 251913483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384319151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1531027 + ... + 1531277.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2^384319152 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 384319152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649958400).

384319152 is an abundant number, since it is smaller than the sum of its proper divisors (915597648).

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

384319152 is a wasteful number, since it uses less digits than its factorization.

384319152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 294 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 384319152 is about 19604.0595795871. The cubic root of 384319152 is about 727.0495486185.

The spelling of 384319152 in words is "three hundred eighty-four million, three hundred nineteen thousand, one hundred fifty-two".