3599940817201 has 9 divisors (see below), whose sum is σ = 3609542235051. Its totient is φ = 3590364886704.

The previous prime is 3599940817189. The next prime is 3599940817217. The reversal of 3599940817201 is 1027180499953.

The square root of 3599940817201 is 1897351.

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

It can be written as a sum of positive squares in only one way, i.e., 3290048194801 + 309892622400 = 1813849^2 + 556680^2 .

It is not a de Polignac number, because 3599940817201 - 2⁵ = 3599940817169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3599940817271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 776014240 + ... + 776018878.

It is an arithmetic number, because the mean of its divisors is an integer number (401060248339).

Almost surely, 2^{3599940817201} is an apocalyptic number.

3599940817201 is the 1897351-st square number.

3599940817201 is the 948676-th centered octagonal number.

It is an amenable number.

3599940817201 is a deficient number, since it is larger than the sum of its proper divisors (9601417850).

3599940817201 is an frugal number, since it uses more digits than its factorization.

3599940817201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10096 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 58.

The spelling of 3599940817201 in words is "three trillion, five hundred ninety-nine billion, nine hundred forty million, eight hundred seventeen thousand, two hundred one".