38634831557257 has 16 divisors (see below), whose sum is σ = 42158431622160. Its totient is φ = 35402607866496.

The previous prime is 38634831557249. The next prime is 38634831557263. The reversal of 38634831557257 is 75275513843683.

It can be written as a sum of positive squares in 8 ways, for example, as 22172693846521 + 16462137710736 = 4708789^2 + 4057356^2 .

It is not a de Polignac number, because 38634831557257 - 2³ = 38634831557249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38634831557192 and 38634831557201.

It is not an unprimeable number, because it can be changed into a prime (38634831557297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63878818 + ... + 64480795.

It is an arithmetic number, because the mean of its divisors is an integer number (2634901976385).

Almost surely, 2^{38634831557257} is an apocalyptic number.

It is an amenable number.

38634831557257 is a deficient number, since it is larger than the sum of its proper divisors (3523600064903).

38634831557257 is a wasteful number, since it uses less digits than its factorization.

38634831557257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128359789 (or 128359763 counting only the distinct ones).

The product of its digits is 508032000, while the sum is 67.

The spelling of 38634831557257 in words is "thirty-eight trillion, six hundred thirty-four billion, eight hundred thirty-one million, five hundred fifty-seven thousand, two hundred fifty-seven".