384043680 has 120 divisors (see below), whose sum is σ = 1355399892. Its totient is φ = 102408192.

The previous prime is 384043669. The next prime is 384043691. The reversal of 384043680 is 86340483.

It is an interprime number because it is at equal distance from previous prime (384043669) and next prime (384043691).

It can be written as a sum of positive squares in 2 ways, for example, as 354493584 + 29550096 = 18828^2 + 5436^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

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 19 ways as a sum of consecutive naturals, for example, 1857 + ... + 27776.

Almost surely, 2^384043680 is an apocalyptic number.

384043680 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 384043680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677699946).

384043680 is an abundant number, since it is smaller than the sum of its proper divisors (971356212).

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

384043680 is a wasteful number, since it uses less digits than its factorization.

384043680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29660 (or 29643 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 384043680 is about 19597.0324284061. The cubic root of 384043680 is about 726.8757957503.

The spelling of 384043680 in words is "three hundred eighty-four million, forty-three thousand, six hundred eighty".