384601536 has 168 divisors, whose sum is σ = 1216536048. Its totient is φ = 115200000.

The previous prime is 384601453. The next prime is 384601541. The reversal of 384601536 is 635106483.

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

It is a self number, because there is not a number n which added to its sum of digits gives 384601536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639636 + ... + 640236.

It is an arithmetic number, because the mean of its divisors is an integer number (7241286).

Almost surely, 2^384601536 is an apocalyptic number.

384601536 is a gapful number since it is divisible by the number (36) 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 384601536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608268024).

384601536 is an abundant number, since it is smaller than the sum of its proper divisors (831934512).

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

384601536 is a wasteful number, since it uses less digits than its factorization.

384601536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 384601536 is about 19611.2604388397. The cubic root of 384601536 is about 727.2275750453.

The spelling of 384601536 in words is "three hundred eighty-four million, six hundred one thousand, five hundred thirty-six".