38746528487888 has 80 divisors (see below), whose sum is σ = 81745898927616. Its totient is φ = 17684976860160.

The previous prime is 38746528487881. The next prime is 38746528487903. The reversal of 38746528487888 is 88878482564783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38746528487881) 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 15 ways as a sum of consecutive naturals, for example, 4909433 + ... + 10079463.

Almost surely, 2^{38746528487888} 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 38746528487888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40872949463808).

38746528487888 is an abundant number, since it is smaller than the sum of its proper divisors (42999370439728).

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

38746528487888 is a wasteful number, since it uses less digits than its factorization.

38746528487888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5170452 (or 5170446 counting only the distinct ones).

The product of its digits is 36993761280, while the sum is 86.

The spelling of 38746528487888 in words is "thirty-eight trillion, seven hundred forty-six billion, five hundred twenty-eight million, four hundred eighty-seven thousand, eight hundred eighty-eight".