3633659438656 has 63 divisors (see below), whose sum is σ = 7808292040611. Its totient is φ = 1676982088704.

The previous prime is 3633659438641. The next prime is 3633659438677. The reversal of 3633659438656 is 6568349563363.

It is a happy number.

The square root of 3633659438656 is 1906216.

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

It can be written as a sum of positive squares in 4 ways, for example, as 534594945600 + 3099064493056 = 731160^2 + 1760416^2 .

It is a super-2 number, since 2×3633659438656² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3633659438591 and 3633659438600.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 198237300 + ... + 198255628.

Almost surely, 2^{3633659438656} is an apocalyptic number.

3633659438656 is the 1906216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3633659438656

3633659438656 is an abundant number, since it is smaller than the sum of its proper divisors (4174632601955).

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

3633659438656 is an frugal number, since it uses more digits than its factorization.

3633659438656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36696 (or 18344 counting only the distinct ones).

The product of its digits is 755827200, while the sum is 67.

The spelling of 3633659438656 in words is "three trillion, six hundred thirty-three billion, six hundred fifty-nine million, four hundred thirty-eight thousand, six hundred fifty-six".