384336512 has 128 divisors (see below), whose sum is σ = 918881280. Its totient is φ = 156672000.

The previous prime is 384336499. The next prime is 384336517. The reversal of 384336512 is 215633483.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×384336512² = 295429108912652288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384336517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2805308 + ... + 2805444.

It is an arithmetic number, because the mean of its divisors is an integer number (7178760).

Almost surely, 2^384336512 is an apocalyptic number.

384336512 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 384336512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459440640).

384336512 is an abundant number, since it is smaller than the sum of its proper divisors (534544768).

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

384336512 is a wasteful number, since it uses less digits than its factorization.

384336512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 384336512 is about 19604.5023400238. The cubic root of 384336512 is about 727.0604955880.

Adding to 384336512 its reverse (215633483), we get a palindrome (599969995).

The spelling of 384336512 in words is "three hundred eighty-four million, three hundred thirty-six thousand, five hundred twelve".