3967627056225 has 24 divisors (see below), whose sum is σ = 7496925791040. Its totient is φ = 1813772368320.

The previous prime is 3967627056223. The next prime is 3967627056241. The reversal of 3967627056225 is 5226507267693.

It is not a de Polignac number, because 3967627056225 - 2¹ = 3967627056223 is a prime.

It is a super-2 number, since 2×3967627056225² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3967627056223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3778691910 + ... + 3778692959.

It is an arithmetic number, because the mean of its divisors is an integer number (312371907960).

Almost surely, 2^{3967627056225} is an apocalyptic number.

3967627056225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3967627056225 is a deficient number, since it is larger than the sum of its proper divisors (3529298734815).

3967627056225 is a wasteful number, since it uses less digits than its factorization.

3967627056225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7557384889 (or 7557384884 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 60.

The spelling of 3967627056225 in words is "three trillion, nine hundred sixty-seven billion, six hundred twenty-seven million, fifty-six thousand, two hundred twenty-five".