3605151331936 has 768 divisors, whose sum is σ = 10400779468800. Its totient is φ = 1185833779200.

The previous prime is 3605151331913. The next prime is 3605151331939. The reversal of 3605151331936 is 6391331515063.

3605151331936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×3605151331936⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3605151331939) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1159583950 + ... + 1159587058.

It is an arithmetic number, because the mean of its divisors is an integer number (13542681600).

Almost surely, 2^{3605151331936} 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 3605151331936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200389734400).

3605151331936 is an abundant number, since it is smaller than the sum of its proper divisors (6795628136864).

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

3605151331936 is a wasteful number, since it uses less digits than its factorization.

3605151331936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 46.

Adding to 3605151331936 its reverse (6391331515063), we get a palindrome (9996482846999).

The spelling of 3605151331936 in words is "three trillion, six hundred five billion, one hundred fifty-one million, three hundred thirty-one thousand, nine hundred thirty-six".