38988841882536 has 1536 divisors, whose sum is σ = 148059684864000. Its totient is φ = 9164572139520.

The previous prime is 38988841882513. The next prime is 38988841882577. The reversal of 38988841882536 is 63528814888983.

It is a happy number.

38988841882536 is a `hidden beast` number, since 3 + 8 + 98 + 8 + 8 + 418 + 82 + 5 + 36 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7952035461 + ... + 7952040363.

It is an arithmetic number, because the mean of its divisors is an integer number (96393024000).

Almost surely, 2^{38988841882536} is an apocalyptic number.

38988841882536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38988841882536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74029842432000).

38988841882536 is an abundant number, since it is smaller than the sum of its proper divisors (109070842981464).

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

38988841882536 is a wasteful number, since it uses less digits than its factorization.

38988841882536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5044 (or 5023 counting only the distinct ones).

The product of its digits is 5096079360, while the sum is 81.

The spelling of 38988841882536 in words is "thirty-eight trillion, nine hundred eighty-eight billion, eight hundred forty-one million, eight hundred eighty-two thousand, five hundred thirty-six".