3452160284001 has 243 divisors, whose sum is σ = 6120095752953. Its totient is φ = 1872862992000.

The previous prime is 3452160283987. The next prime is 3452160284009. The reversal of 3452160284001 is 1004820612543.

It is a happy number.

The square root of 3452160284001 is 1857999.

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

3452160284001 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 1 + 602 + 8 + 40 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2427660029025 + 1024500254976 = 1558095^2 + 1012176^2 .

It is not a de Polignac number, because 3452160284001 - 2⁵ = 3452160283969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3452160284009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 48621975796 + ... + 48621975866.

Almost surely, 2^{3452160284001} is an apocalyptic number.

3452160284001 is the 1857999-th square number.

3452160284001 is the 929000-th centered octagonal number.

It is an amenable number.

3452160284001 is a deficient number, since it is larger than the sum of its proper divisors (2667935468952).

3452160284001 is a wasteful number, since it uses less digits than its factorization.

3452160284001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 3452160284001 by its sum of digits (36), we get a square (124277770224036 = 11147994²).

Adding to 3452160284001 its reverse (1004820612543), we get a palindrome (4456980896544).

The spelling of 3452160284001 in words is "three trillion, four hundred fifty-two billion, one hundred sixty million, two hundred eighty-four thousand, one".