384377680 has 40 divisors (see below), whose sum is σ = 922512384. Its totient is φ = 148790400.

The previous prime is 384377659. The next prime is 384377689. The reversal of 384377680 is 86773483.

384377680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 384377680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384377689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 75016 + ... + 79975.

Almost surely, 2^384377680 is an apocalyptic number.

It is an amenable number.

384377680 is an abundant number, since it is smaller than the sum of its proper divisors (538134704).

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

384377680 is a wasteful number, since it uses less digits than its factorization.

384377680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155035 (or 155029 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The square root of 384377680 is about 19605.5522748022. The cubic root of 384377680 is about 727.0864542266.

The spelling of 384377680 in words is "three hundred eighty-four million, three hundred seventy-seven thousand, six hundred eighty".