365216640 has 256 divisors, whose sum is σ = 1230707520. Its totient is φ = 92012544.

The previous prime is 365216623. The next prime is 365216641. The reversal of 365216640 is 46612563.

365216640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365216641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3765072 + ... + 3765168.

Almost surely, 2^365216640 is an apocalyptic number.

365216640 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 365216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615353760).

365216640 is an abundant number, since it is smaller than the sum of its proper divisors (865490880).

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

365216640 is a wasteful number, since it uses less digits than its factorization.

365216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 365216640 is about 19110.6420614274. The cubic root of 365216640 is about 714.7983130420.

The spelling of 365216640 in words is "three hundred sixty-five million, two hundred sixteen thousand, six hundred forty".