38753857917 has 16 divisors (see below), whose sum is σ = 60790366080. Its totient is φ = 24316145856.

The previous prime is 38753857897. The next prime is 38753857937. The reversal of 38753857917 is 71975835783.

38753857917 is a `hidden beast` number, since 3 + 8 + 7 + 53 + 8 + 579 + 1 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (38753857897) and next prime (38753857937).

It is not a de Polignac number, because 38753857917 - 2⁶ = 38753857853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38753857937) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42215073 + ... + 42215990.

It is an arithmetic number, because the mean of its divisors is an integer number (3799397880).

Almost surely, 2^38753857917 is an apocalyptic number.

It is an amenable number.

38753857917 is a deficient number, since it is larger than the sum of its proper divisors (22036508163).

38753857917 is a wasteful number, since it uses less digits than its factorization.

38753857917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84431089 (or 84431083 counting only the distinct ones).

The product of its digits is 44452800, while the sum is 63.

It can be divided in two parts, 387538579 and 17, that added together give a square (387538596 = 19686²).

The spelling of 38753857917 in words is "thirty-eight billion, seven hundred fifty-three million, eight hundred fifty-seven thousand, nine hundred seventeen".