3909294640225 has 24 divisors (see below), whose sum is σ = 5220598094712. Its totient is φ = 2886760780800.

The previous prime is 3909294640213. The next prime is 3909294640259. The reversal of 3909294640225 is 5220464929093.

It can be written as a sum of positive squares in 12 ways, for example, as 912300060736 + 2996994579489 = 955144^2 + 1731183^2 .

It is not a de Polignac number, because 3909294640225 - 2¹¹ = 3909294638177 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9602919 + ... + 10001731.

It is an arithmetic number, because the mean of its divisors is an integer number (217524920613).

Almost surely, 2^{3909294640225} is an apocalyptic number.

It is an amenable number.

3909294640225 is a deficient number, since it is larger than the sum of its proper divisors (1311303454487).

3909294640225 is a wasteful number, since it uses less digits than its factorization.

3909294640225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428997 (or 428992 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 55.

The spelling of 3909294640225 in words is "three trillion, nine hundred nine billion, two hundred ninety-four million, six hundred forty thousand, two hundred twenty-five".