384178140 has 144 divisors (see below), whose sum is σ = 1219432032. Its totient is φ = 101523456.

The previous prime is 384178139. The next prime is 384178163. The reversal of 384178140 is 41871483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 384178095 and 384178104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665532 + ... + 666108.

It is an arithmetic number, because the mean of its divisors is an integer number (8468278).

Almost surely, 2^384178140 is an apocalyptic number.

384178140 is a gapful number since it is divisible by the number (30) 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 384178140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609716016).

384178140 is an abundant number, since it is smaller than the sum of its proper divisors (835253892).

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

384178140 is a wasteful number, since it uses less digits than its factorization.

384178140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 384178140 is about 19600.4627496394. The cubic root of 384178140 is about 726.9606162369.

The spelling of 384178140 in words is "three hundred eighty-four million, one hundred seventy-eight thousand, one hundred forty".