364000000 has 252 divisors, whose sum is σ = 1117798192. Its totient is φ = 115200000.

The previous prime is 363999991. The next prime is 364000003. The reversal of 364000000 is 463.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (364000003) 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 27 ways as a sum of consecutive naturals, for example, 27999994 + ... + 28000006.

Almost surely, 2^364000000 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 364000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558899096).

364000000 is an abundant number, since it is smaller than the sum of its proper divisors (753798192).

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

364000000 is an frugal number, since it uses more digits than its factorization.

364000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 364000000 is about 19078.7840283389. The cubic root of 364000000 is about 714.0036981922.

Adding to 364000000 its reverse (463), we get a palindrome (364000463).

It can be divided in two parts, 36 and 4000000, that multiplied together give a square (144000000 = 12000²).

The spelling of 364000000 in words is "three hundred sixty-four million", and thus it is an aban number.