3209128291216 has 45 divisors (see below), whose sum is σ = 6298498257681. Its totient is φ = 1583973748032.

The previous prime is 3209128291211. The next prime is 3209128291241. The reversal of 3209128291216 is 6121928219023.

The square root of 3209128291216 is 1791404.

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., 772282409616 + 2436845881600 = 878796^2 + 1561040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3209128291211) 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, 566080830 + ... + 566086498.

Almost surely, 2^{3209128291216} is an apocalyptic number.

3209128291216 is the 1791404-th square number.

It is an amenable number.

3209128291216 is a deficient number, since it is larger than the sum of its proper divisors (3089369966465).

3209128291216 is an frugal number, since it uses more digits than its factorization.

3209128291216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11504 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 3209128291216 in words is "three trillion, two hundred nine billion, one hundred twenty-eight million, two hundred ninety-one thousand, two hundred sixteen".