38016586872 has 512 divisors, whose sum is σ = 127617638400. Its totient is φ = 10351411200.

The previous prime is 38016586871. The next prime is 38016586879. The reversal of 38016586872 is 27868561083.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38016586871) 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 127 ways as a sum of consecutive naturals, for example, 121458588 + ... + 121458900.

It is an arithmetic number, because the mean of its divisors is an integer number (249253200).

Almost surely, 2^38016586872 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 38016586872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63808819200).

38016586872 is an abundant number, since it is smaller than the sum of its proper divisors (89601051528).

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

38016586872 is a wasteful number, since it uses less digits than its factorization.

38016586872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 474 counting only the distinct ones).

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

The spelling of 38016586872 in words is "thirty-eight billion, sixteen million, five hundred eighty-six thousand, eight hundred seventy-two".