384875712 has 140 divisors (see below), whose sum is σ = 1228868256. Its totient is φ = 118402560.

The previous prime is 384875707. The next prime is 384875713. The reversal of 384875712 is 217578483.

384875712 is a `hidden beast` number, since 38 + 48 + 7 + 571 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (384875713) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64537 + ... + 70247.

Almost surely, 2^384875712 is an apocalyptic number.

384875712 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 384875712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614434128).

384875712 is an abundant number, since it is smaller than the sum of its proper divisors (843992544).

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

384875712 is a wasteful number, since it uses less digits than its factorization.

384875712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5748 (or 5729 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 384875712 is about 19618.2494631912. The cubic root of 384875712 is about 727.4003434541.

It can be divided in two parts, 384 and 875712, that added together give a square (876096 = 936²).

The spelling of 384875712 in words is "three hundred eighty-four million, eight hundred seventy-five thousand, seven hundred twelve".