38549471688 has 288 divisors, whose sum is σ = 131082751800. Its totient is φ = 10144382976.

The previous prime is 38549471687. The next prime is 38549471717. The reversal of 38549471688 is 88617494583.

38549471688 is a `hidden beast` number, since 3 + 8 + 549 + 4 + 7 + 1 + 6 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34947311364 + 3602160324 = 186942^2 + 60018^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (38549471687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35268870 + ... + 35269962.

Almost surely, 2^38549471688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38549471688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65541375900).

38549471688 is an abundant number, since it is smaller than the sum of its proper divisors (92533280112).

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

38549471688 is a wasteful number, since it uses less digits than its factorization.

38549471688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1887 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 38549471688 in words is "thirty-eight billion, five hundred forty-nine million, four hundred seventy-one thousand, six hundred eighty-eight".