3606220800 has 936 divisors, whose sum is σ = 16267194944. Its totient is φ = 743178240.

The previous prime is 3606220777. The next prime is 3606220817. The reversal of 3606220800 is 80226063.

3606220800 is a `hidden beast` number, since 36 + 0 + 622 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83865579 + ... + 83865621.

Almost surely, 2^3606220800 is an apocalyptic number.

3606220800 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 3606220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133597472).

3606220800 is an abundant number, since it is smaller than the sum of its proper divisors (12660974144).

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

3606220800 is a wasteful number, since it uses less digits than its factorization.

3606220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3606220800 is about 60051.8176244483. The cubic root of 3606220800 is about 1533.5011452547.

Adding to 3606220800 its reverse (80226063), we get a palindrome (3686446863).

The spelling of 3606220800 in words is "three billion, six hundred six million, two hundred twenty thousand, eight hundred".