384535872 has 168 divisors, whose sum is σ = 1267862336. Its totient is φ = 109154304.

The previous prime is 384535871. The next prime is 384535883. The reversal of 384535872 is 278535483.

384535872 is a `hidden beast` number, since 38 + 4 + 535 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384535871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1140888 + ... + 1141224.

Almost surely, 2^384535872 is an apocalyptic number.

384535872 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 384535872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633931168).

384535872 is an abundant number, since it is smaller than the sum of its proper divisors (883326464).

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

384535872 is a wasteful number, since it uses less digits than its factorization.

384535872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 632 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 384535872 is about 19609.5862271492. The cubic root of 384535872 is about 727.1861855509.

The spelling of 384535872 in words is "three hundred eighty-four million, five hundred thirty-five thousand, eight hundred seventy-two".