3512149609329 has 27 divisors (see below), whose sum is σ = 5131477717483. Its totient is φ = 2314794999264.

The previous prime is 3512149609277. The next prime is 3512149609361. The reversal of 3512149609329 is 9239069412153.

The square root of 3512149609329 is 1874073.

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

3512149609329 is a `hidden beast` number, since 3 + 5 + 1 + 2 + 1 + 4 + 9 + 609 + 3 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 674407215729 + 2837742393600 = 821223^2 + 1684560^2 .

It is not a de Polignac number, because 3512149609329 - 2¹⁹ = 3512149085041 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3512149609369) 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, 500373982 + ... + 500381000.

Almost surely, 2^{3512149609329} is an apocalyptic number.

3512149609329 is the 1874073-rd square number.

3512149609329 is the 937037-th centered octagonal number.

It is an amenable number.

3512149609329 is a deficient number, since it is larger than the sum of its proper divisors (1619328108154).

3512149609329 is an frugal number, since it uses more digits than its factorization.

3512149609329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14222 (or 7111 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 3512149609329 in words is "three trillion, five hundred twelve billion, one hundred forty-nine million, six hundred nine thousand, three hundred twenty-nine".