38577516377877 has 24 divisors (see below), whose sum is σ = 55936785123648. Its totient is φ = 25619717160000.

The previous prime is 38577516377843. The next prime is 38577516377893. The reversal of 38577516377877 is 77877361577583.

38577516377877 is a `hidden beast` number, since 3 + 8 + 577 + 5 + 1 + 6 + 37 + 7 + 8 + 7 + 7 = 666.

It is not a de Polignac number, because 38577516377877 - 2¹⁶ = 38577516312341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38577516377796 and 38577516377805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38577516377677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76750377 + ... + 77251377.

It is an arithmetic number, because the mean of its divisors is an integer number (2330699380152).

Almost surely, 2^{38577516377877} is an apocalyptic number.

It is an amenable number.

38577516377877 is a deficient number, since it is larger than the sum of its proper divisors (17359268745771).

38577516377877 is a wasteful number, since it uses less digits than its factorization.

38577516377877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533801 (or 533798 counting only the distinct ones).

The product of its digits is 10164873600, while the sum is 81.

The spelling of 38577516377877 in words is "thirty-eight trillion, five hundred seventy-seven billion, five hundred sixteen million, three hundred seventy-seven thousand, eight hundred seventy-seven".