384231680 has 288 divisors, whose sum is σ = 1155759360. Its totient is φ = 119439360.

The previous prime is 384231611. The next prime is 384231697. The reversal of 384231680 is 86132483.

It is a happy number.

384231680 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 384231680.

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 31 ways as a sum of consecutive naturals, for example, 6298850 + ... + 6298910.

Almost surely, 2^384231680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577879680).

384231680 is an abundant number, since it is smaller than the sum of its proper divisors (771527680).

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

384231680 is a wasteful number, since it uses less digits than its factorization.

384231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 384231680 is about 19601.8284861387. The cubic root of 384231680 is about 726.9943850014.

The spelling of 384231680 in words is "three hundred eighty-four million, two hundred thirty-one thousand, six hundred eighty".