3927638880513 has 12 divisors (see below), whose sum is σ = 5678654134608. Its totient is φ = 2615934547800.

The previous prime is 3927638880511. The next prime is 3927638880533. The reversal of 3927638880513 is 3150888367293.

3927638880513 is a `hidden beast` number, since 3 + 9 + 2 + 7 + 6 + 38 + 8 + 80 + 513 = 666.

It is not a de Polignac number, because 3927638880513 - 2¹ = 3927638880511 is a prime.

It is a super-2 number, since 2×3927638880513² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3927638880511) 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 11 ways as a sum of consecutive naturals, for example, 207604395 + ... + 207623312.

It is an arithmetic number, because the mean of its divisors is an integer number (473221177884).

Almost surely, 2^{3927638880513} is an apocalyptic number.

It is an amenable number.

3927638880513 is a deficient number, since it is larger than the sum of its proper divisors (1751015254095).

3927638880513 is a wasteful number, since it uses less digits than its factorization.

3927638880513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415228764 (or 415228761 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3927638880513 in words is "three trillion, nine hundred twenty-seven billion, six hundred thirty-eight million, eight hundred eighty thousand, five hundred thirteen".