384205536 has 288 divisors, whose sum is σ = 1353905280. Its totient is φ = 101606400.

The previous prime is 384205531. The next prime is 384205541. The reversal of 384205536 is 635502483.

It is a happy number.

384205536 is a `hidden beast` number, since 3 + 84 + 20 + 553 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (384205531) and next prime (384205541).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×384205536² = 295227787786094592, which contains 22 as substring.

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 384205536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384205531) 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 47 ways as a sum of consecutive naturals, for example, 782251 + ... + 782741.

It is an arithmetic number, because the mean of its divisors is an integer number (4701060).

Almost surely, 2^384205536 is an apocalyptic number.

384205536 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 384205536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676952640).

384205536 is an abundant number, since it is smaller than the sum of its proper divisors (969699744).

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

384205536 is a wasteful number, since it uses less digits than its factorization.

384205536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 384205536 is about 19601.1615982319. The cubic root of 384205536 is about 726.9778958420.

It can be divided in two parts, 38420 and 5536, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 384205536 in words is "three hundred eighty-four million, two hundred five thousand, five hundred thirty-six".