3258664001329 has 27 divisors (see below), whose sum is σ = 3599626164939. Its totient is φ = 2947781833920.

The previous prime is 3258664001323. The next prime is 3258664001387. The reversal of 3258664001329 is 9231004668523.

The square root of 3258664001329 is 1805177.

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., 365426295025 + 2893237706304 = 604505^2 + 1700952^2 .

It is not a de Polignac number, because 3258664001329 - 2¹⁵ = 3258663968561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3258664001323) 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, 7525782697 + ... + 7525783129.

Almost surely, 2^{3258664001329} is an apocalyptic number.

3258664001329 is the 1805177-th square number.

3258664001329 is the 902589-th centered octagonal number.

It is an amenable number.

3258664001329 is a deficient number, since it is larger than the sum of its proper divisors (340962163610).

3258664001329 is an frugal number, since it uses more digits than its factorization.

3258664001329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

Multiplying 3258664001329 by its sum of digits (49), we get a square (159674536065121 = 12636239²).

The spelling of 3258664001329 in words is "three trillion, two hundred fifty-eight billion, six hundred sixty-four million, one thousand, three hundred twenty-nine".