3384404105625 has 135 divisors (see below), whose sum is σ = 6452208280089. Its totient is φ = 1708690140000.

The previous prime is 3384404105623. The next prime is 3384404105689. The reversal of 3384404105625 is 5265014044833.

The square root of 3384404105625 is 1839675.

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

3384404105625 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 4 + 0 + 4 + 10 + 5 + 625 = 666.

3384404105625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 265337281881 + 3119066823744 = 515109^2 + 1766088^2 .

It is not a de Polignac number, because 3384404105625 - 2¹ = 3384404105623 is a prime.

It is a super-2 number, since 2×3384404105625² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3384404105623) 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 134 ways as a sum of consecutive naturals, for example, 2621536230 + ... + 2621537520.

Almost surely, 2^{3384404105625} is an apocalyptic number.

3384404105625 is the 1839675-th square number.

3384404105625 is the 919838-th centered octagonal number.

It is an amenable number.

3384404105625 is a deficient number, since it is larger than the sum of its proper divisors (3067804174464).

3384404105625 is an frugal number, since it uses more digits than its factorization.

3384404105625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 3384404105625 in words is "three trillion, three hundred eighty-four billion, four hundred four million, one hundred five thousand, six hundred twenty-five".