384600384 has 336 divisors, whose sum is σ = 1384621056. Its totient is φ = 99532800.

The previous prime is 384600371. The next prime is 384600421. The reversal of 384600384 is 483006483.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2124774 + ... + 2124954.

It is an arithmetic number, because the mean of its divisors is an integer number (4120896).

Almost surely, 2^384600384 is an apocalyptic number.

384600384 is a gapful number since it is divisible by the number (34) 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 384600384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692310528).

384600384 is an abundant number, since it is smaller than the sum of its proper divisors (1000020672).

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

384600384 is a wasteful number, since it uses less digits than its factorization.

384600384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

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

The square root of 384600384 is about 19611.2310679366. The cubic root of 384600384 is about 727.2268489544.

The spelling of 384600384 in words is "three hundred eighty-four million, six hundred thousand, three hundred eighty-four".