384198696 has 192 divisors, whose sum is σ = 1277078400. Its totient is φ = 101896704.

The previous prime is 384198673. The next prime is 384198707. The reversal of 384198696 is 696891483.

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

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 47 ways as a sum of consecutive naturals, for example, 507150 + ... + 507906.

It is an arithmetic number, because the mean of its divisors is an integer number (6651450).

Almost surely, 2^384198696 is an apocalyptic number.

384198696 is a gapful number since it is divisible by the number (36) 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 384198696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638539200).

384198696 is an abundant number, since it is smaller than the sum of its proper divisors (892879704).

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

384198696 is a wasteful number, since it uses less digits than its factorization.

384198696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 841 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 384198696 is about 19600.9871180000. The cubic root of 384198696 is about 726.9735816942.

The spelling of 384198696 in words is "three hundred eighty-four million, one hundred ninety-eight thousand, six hundred ninety-six".