3604003200 has 768 divisors, whose sum is σ = 15481152000. Its totient is φ = 801792000.

The previous prime is 3604003171. The next prime is 3604003223. The reversal of 3604003200 is 23004063.

3604003200 is a `hidden beast` number, since 3 + 60 + 400 + 3 + 200 = 666.

It is a super-2 number, since 2×3604003200² = 25977678131220480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35683150 + ... + 35683250.

It is an arithmetic number, because the mean of its divisors is an integer number (20157750).

Almost surely, 2^3604003200 is an apocalyptic number.

3604003200 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 3604003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740576000).

3604003200 is an abundant number, since it is smaller than the sum of its proper divisors (11877148800).

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

3604003200 is a wasteful number, since it uses less digits than its factorization.

3604003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3604003200 is about 60033.3507310728. The cubic root of 3604003200 is about 1533.1867450707.

Adding to 3604003200 its reverse (23004063), we get a palindrome (3627007263).

The spelling of 3604003200 in words is "three billion, six hundred four million, three thousand, two hundred".