384169968 has 240 divisors, whose sum is σ = 1393799680. Its totient is φ = 95924736.

The previous prime is 384169921. The next prime is 384169991. The reversal of 384169968 is 869961483.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248205 + ... + 249747.

Almost surely, 2^384169968 is an apocalyptic number.

384169968 is a gapful number since it is divisible by the number (38) 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 384169968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696899840).

384169968 is an abundant number, since it is smaller than the sum of its proper divisors (1009629712).

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

384169968 is a wasteful number, since it uses less digits than its factorization.

384169968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1587 counting only the distinct ones).

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

The square root of 384169968 is about 19600.2542840648. The cubic root of 384169968 is about 726.9554617146.

It can be divided in two parts, 38416 and 9968, that added together give a palindrome (48384).

The spelling of 384169968 in words is "three hundred eighty-four million, one hundred sixty-nine thousand, nine hundred sixty-eight".