364216320 has 384 divisors, whose sum is σ = 1431284400. Its totient is φ = 84934656.

The previous prime is 364216319. The next prime is 364216327. The reversal of 364216320 is 23612463.

364216320 is a `hidden beast` number, since 3 + 6 + 4 + 21 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364216327) 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, 19169271 + ... + 19169289.

Almost surely, 2^364216320 is an apocalyptic number.

364216320 is a gapful number since it is divisible by the number (30) 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 364216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715642200).

364216320 is an abundant number, since it is smaller than the sum of its proper divisors (1067068080).

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

364216320 is a wasteful number, since it uses less digits than its factorization.

364216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 364216320 is about 19084.4523107162. The cubic root of 364216320 is about 714.1451109153.

Adding to 364216320 its reverse (23612463), we get a palindrome (387828783).

The spelling of 364216320 in words is "three hundred sixty-four million, two hundred sixteen thousand, three hundred twenty".