3604200400 has 30 divisors (see below), whose sum is σ = 8659092422. Its totient is φ = 1441680000.

The previous prime is 3604200373. The next prime is 3604200401. The reversal of 3604200400 is 40024063.

It can be written as a sum of positive squares in 3 ways, for example, as 36288576 + 3567911824 = 6024^2 + 59732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3604200401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4504851 + ... + 4505650.

Almost surely, 2^3604200400 is an apocalyptic number.

It is an amenable number.

3604200400 is an abundant number, since it is smaller than the sum of its proper divisors (5054892022).

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

3604200400 is a wasteful number, since it uses less digits than its factorization.

3604200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010519 (or 9010508 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3604200400 is about 60034.9931290077. The cubic root of 3604200400 is about 1533.2147083192.

Adding to 3604200400 its reverse (40024063), we get a palindrome (3644224463).

The spelling of 3604200400 in words is "three billion, six hundred four million, two hundred thousand, four hundred".