3606406200 has 192 divisors, whose sum is σ = 12657448800. Its totient is φ = 943488000.

The previous prime is 3606406159. The next prime is 3606406201. The reversal of 3606406200 is 26046063.

3606406200 is a `hidden beast` number, since 36 + 0 + 6 + 4 + 0 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3606406201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279900 + ... + 292500.

Almost surely, 2^3606406200 is an apocalyptic number.

3606406200 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 3606406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6328724400).

3606406200 is an abundant number, since it is smaller than the sum of its proper divisors (9051042600).

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

3606406200 is a wasteful number, since it uses less digits than its factorization.

3606406200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12679 (or 12664 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3606406200 is about 60053.3612714559. The cubic root of 3606406200 is about 1533.5274244960.

The spelling of 3606406200 in words is "three billion, six hundred six million, four hundred six thousand, two hundred".