364013200 has 60 divisors (see below), whose sum is σ = 880967920. Its totient is φ = 144535680.

The previous prime is 364013171. The next prime is 364013207. The reversal of 364013200 is 2310463.

364013200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (364013207) 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 11 ways as a sum of consecutive naturals, for example, 52327 + ... + 58873.

Almost surely, 2^364013200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440483960).

364013200 is an abundant number, since it is smaller than the sum of its proper divisors (516954720).

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

364013200 is a wasteful number, since it uses less digits than its factorization.

364013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6704 (or 6693 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 364013200 is about 19079.1299591989. The cubic root of 364013200 is about 714.0123289018.

Adding to 364013200 its reverse (2310463), we get a palindrome (366323663).

It can be divided in two parts, 36401 and 3200, that added together give a square (39601 = 199²).

The spelling of 364013200 in words is "three hundred sixty-four million, thirteen thousand, two hundred".