3909788118225 has 144 divisors (see below), whose sum is σ = 7842353485824. Its totient is φ = 1845600624000.

The previous prime is 3909788118149. The next prime is 3909788118263. The reversal of 3909788118225 is 5228118879093.

3909788118225 is a `hidden beast` number, since 390 + 9 + 7 + 8 + 8 + 1 + 18 + 225 = 666.

It is not a de Polignac number, because 3909788118225 - 2⁸ = 3909788117969 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33039112 + ... + 33157238.

It is an arithmetic number, because the mean of its divisors is an integer number (54460788096).

Almost surely, 2^{3909788118225} is an apocalyptic number.

It is an amenable number.

3909788118225 is an abundant number, since it is smaller than the sum of its proper divisors (3932565367599).

3909788118225 is a wasteful number, since it uses less digits than its factorization.

3909788118225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118508 (or 118500 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 3909788118225 in words is "three trillion, nine hundred nine billion, seven hundred eighty-eight million, one hundred eighteen thousand, two hundred twenty-five".