384636672 has 162 divisors, whose sum is σ = 1290442608. Its totient is φ = 109863936.

The previous prime is 384636649. The next prime is 384636683. The reversal of 384636672 is 276636483.

384636672 is a `hidden beast` number, since 3 + 8 + 4 + 636 + 6 + 7 + 2 = 666.

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

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 111193 + ... + 114599.

Almost surely, 2^384636672 is an apocalyptic number.

384636672 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 384636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645221304).

384636672 is an abundant number, since it is smaller than the sum of its proper divisors (905805936).

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

384636672 is a wasteful number, since it uses less digits than its factorization.

384636672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3419 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 384636672 is about 19612.1562302568. The cubic root of 384636672 is about 727.2497201207.

The spelling of 384636672 in words is "three hundred eighty-four million, six hundred thirty-six thousand, six hundred seventy-two".