384197632 has 264 divisors, whose sum is σ = 1045443840. Its totient is φ = 139345920.

The previous prime is 384197629. The next prime is 384197669. The reversal of 384197632 is 236791483.

Its product of digits (217728) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12393457 + ... + 12393487.

Almost surely, 2^384197632 is an apocalyptic number.

384197632 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 384197632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522721920).

384197632 is an abundant number, since it is smaller than the sum of its proper divisors (661246208).

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

384197632 is a wasteful number, since it uses less digits than its factorization.

384197632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 384197632 is about 19600.9599764909. The cubic root of 384197632 is about 726.9729106000.

The spelling of 384197632 in words is "three hundred eighty-four million, one hundred ninety-seven thousand, six hundred thirty-two".