384851712 has 144 divisors (see below), whose sum is σ = 1239743232. Its totient is φ = 103464960.

The previous prime is 384851683. The next prime is 384851717. The reversal of 384851712 is 217158483.

It is a super-2 number, since 2×384851712² = 296221680458661888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384851717) by changing a digit.

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, 89287 + ... + 93497.

It is an arithmetic number, because the mean of its divisors is an integer number (8609328).

Almost surely, 2^384851712 is an apocalyptic number.

384851712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384851712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619871616).

384851712 is an abundant number, since it is smaller than the sum of its proper divisors (854891520).

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

384851712 is a wasteful number, since it uses less digits than its factorization.

384851712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4240 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 384851712 is about 19617.6377782851. The cubic root of 384851712 is about 727.3852234464.

The spelling of 384851712 in words is "three hundred eighty-four million, eight hundred fifty-one thousand, seven hundred twelve".