3285058375729 has 27 divisors (see below), whose sum is σ = 3593506756203. Its totient is φ = 3001716284112.

The previous prime is 3285058375657. The next prime is 3285058375789. The reversal of 3285058375729 is 9275738505823.

The square root of 3285058375729 is 1812473.

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., 485955381025 + 2799102994704 = 697105^2 + 1673052^2 .

It is not a de Polignac number, because 3285058375729 - 2²¹ = 3285056278577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3285058375789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2521149292 + ... + 2521150594.

Almost surely, 2^{3285058375729} is an apocalyptic number.

3285058375729 is the 1812473-rd square number.

3285058375729 is the 906237-th centered octagonal number.

It is an amenable number.

3285058375729 is a deficient number, since it is larger than the sum of its proper divisors (308448380474).

3285058375729 is an frugal number, since it uses more digits than its factorization.

3285058375729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 64.

Multiplying 3285058375729 by its sum of digits (64), we get a square (210243736046656 = 14499784²).

The spelling of 3285058375729 in words is "three trillion, two hundred eighty-five billion, fifty-eight million, three hundred seventy-five thousand, seven hundred twenty-nine".