3606456193600 has 672 divisors, whose sum is σ = 10377775779840. Its totient is φ = 1222459392000.

The previous prime is 3606456193559. The next prime is 3606456193607. The reversal of 3606456193600 is 63916546063.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3606456193607) 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 95 ways as a sum of consecutive naturals, for example, 2649856920 + ... + 2649858280.

It is an arithmetic number, because the mean of its divisors is an integer number (15443118720).

Almost surely, 2^{3606456193600} 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 3606456193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188887889920).

3606456193600 is an abundant number, since it is smaller than the sum of its proper divisors (6771319586240).

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

3606456193600 is a wasteful number, since it uses less digits than its factorization.

3606456193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 49.

The spelling of 3606456193600 in words is "three trillion, six hundred six billion, four hundred fifty-six million, one hundred ninety-three thousand, six hundred".