3634033066596 has 243 divisors, whose sum is σ = 9790727042187. Its totient is φ = 1136468154240.

The previous prime is 3634033066591. The next prime is 3634033066603. The reversal of 3634033066596 is 6956603304363.

It is a happy number.

The square root of 3634033066596 is 1906314.

It is a perfect power (a square), and thus also a powerful number.

3634033066596 is a `hidden beast` number, since 3 + 6 + 3 + 40 + 3 + 3 + 0 + 6 + 6 + 596 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34665226596 + 3599367840000 = 186186^2 + 1897200^2 .

It is a super-2 number, since 2×3634033066596² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3634033066591) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13119252810 + ... + 13119253086.

Almost surely, 2^{3634033066596} is an apocalyptic number.

3634033066596 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3634033066596 is the 1906314-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3634033066596

3634033066596 is an abundant number, since it is smaller than the sum of its proper divisors (6156693975591).

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

3634033066596 is a wasteful number, since it uses less digits than its factorization.

3634033066596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 54.

The spelling of 3634033066596 in words is "three trillion, six hundred thirty-four billion, thirty-three million, sixty-six thousand, five hundred ninety-six".