38177125875 has 64 divisors (see below), whose sum is σ = 80668922880. Its totient is φ = 17452389600.

The previous prime is 38177125873. The next prime is 38177125949. The reversal of 38177125875 is 57852177183.

38177125875 is a `hidden beast` number, since 38 + 17 + 7 + 12 + 587 + 5 = 666.

It is not a de Polignac number, because 38177125875 - 2¹ = 38177125873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38177125873) 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 63 ways as a sum of consecutive naturals, for example, 784357 + ... + 831606.

It is an arithmetic number, because the mean of its divisors is an integer number (1260451920).

Almost surely, 2^38177125875 is an apocalyptic number.

38177125875 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38177125875 is an abundant number, since it is smaller than the sum of its proper divisors (42491797005).

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

38177125875 is a wasteful number, since it uses less digits than its factorization.

38177125875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615994 (or 1615978 counting only the distinct ones).

The product of its digits is 3292800, while the sum is 54.

The spelling of 38177125875 in words is "thirty-eight billion, one hundred seventy-seven million, one hundred twenty-five thousand, eight hundred seventy-five".