3596598460900 has 81 divisors (see below), whose sum is σ = 7852274454171. Its totient is φ = 1429908036480.

The previous prime is 3596598460883. The next prime is 3596598460901. The reversal of 3596598460900 is 90648956953.

The square root of 3596598460900 is 1896470.

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

3596598460900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 180341211556 + 3416257249344 = 424666^2 + 1848312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3596598460901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3773974824 + ... + 3773975776.

Almost surely, 2^{3596598460900} is an apocalyptic number.

3596598460900 is the 1896470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3596598460900

3596598460900 is an abundant number, since it is smaller than the sum of its proper divisors (4255675993271).

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

3596598460900 is an frugal number, since it uses more digits than its factorization.

3596598460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 64.

Multiplying 3596598460900 by its sum of digits (64), we get a square (230182301497600 = 15171760²).

The spelling of 3596598460900 in words is "three trillion, five hundred ninety-six billion, five hundred ninety-eight million, four hundred sixty thousand, nine hundred".