384388020 has 72 divisors (see below), whose sum is σ = 1234573704. Its totient is φ = 96473088.

The previous prime is 384388019. The next prime is 384388021. The reversal of 384388020 is 20883483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (384388019) and next prime (384388021).

It can be written as a sum of positive squares in 4 ways, for example, as 16208676 + 368179344 = 4026^2 + 19188^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384388021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59749 + ... + 65868.

It is an arithmetic number, because the mean of its divisors is an integer number (17146857).

Almost surely, 2^384388020 is an apocalyptic number.

384388020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384388020 is an abundant number, since it is smaller than the sum of its proper divisors (850185684).

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

384388020 is a wasteful number, since it uses less digits than its factorization.

384388020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125649 (or 125644 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 384388020 is about 19605.8159738380. The cubic root of 384388020 is about 727.0929738616.

The spelling of 384388020 in words is "three hundred eighty-four million, three hundred eighty-eight thousand, twenty".