3066400625 has 10 divisors (see below), whose sum is σ = 3831775002. Its totient is φ = 2453120000.

The previous prime is 3066400621. The next prime is 3066400651. The reversal of 3066400625 is 5260046603.

It can be written as a sum of positive squares in 5 ways, for example, as 243391201 + 2823009424 = 15601^2 + 53132^2 .

It is not a de Polignac number, because 3066400625 - 2² = 3066400621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3066400591 and 3066400600.

It is not an unprimeable number, because it can be changed into a prime (3066400621) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2452496 + ... + 2453745.

Almost surely, 2^3066400625 is an apocalyptic number.

It is an amenable number.

3066400625 is a deficient number, since it is larger than the sum of its proper divisors (765374377).

3066400625 is an frugal number, since it uses more digits than its factorization.

3066400625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906261 (or 4906246 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 3066400625 is about 55375.0902933801. The cubic root of 3066400625 is about 1452.8127131750.

The spelling of 3066400625 in words is "three billion, sixty-six million, four hundred thousand, six hundred twenty-five".