38135781648 has 60 divisors (see below), whose sum is σ = 106754230908. Its totient is φ = 12708710400.

The previous prime is 38135781643. The next prime is 38135781659. The reversal of 38135781648 is 84618753183.

It is a happy number.

38135781648 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 578 + 1 + 64 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17867134224 + 20268647424 = 133668^2 + 142368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38135781594 and 38135781603.

It is not an unprimeable number, because it can be changed into a prime (38135781643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 575848 + ... + 638648.

Almost surely, 2^38135781648 is an apocalyptic number.

It is an amenable number.

38135781648 is an abundant number, since it is smaller than the sum of its proper divisors (68618449260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38135781648 is a wasteful number, since it uses less digits than its factorization.

38135781648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67032 (or 67023 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 38135781648 in words is "thirty-eight billion, one hundred thirty-five million, seven hundred eighty-one thousand, six hundred forty-eight".