38986331758416 has 480 divisors, whose sum is σ = 132514326397440. Its totient is φ = 10445285228544.

The previous prime is 38986331758373. The next prime is 38986331758481. The reversal of 38986331758416 is 61485713368983.

It is a happy number.

38986331758416 is a `hidden beast` number, since 3 + 8 + 9 + 8 + 6 + 3 + 31 + 7 + 584 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5507318365 + ... + 5507325443.

It is an arithmetic number, because the mean of its divisors is an integer number (276071513328).

Almost surely, 2^{38986331758416} is an apocalyptic number.

38986331758416 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 38986331758416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66257163198720).

38986331758416 is an abundant number, since it is smaller than the sum of its proper divisors (93527994639024).

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

38986331758416 is a wasteful number, since it uses less digits than its factorization.

38986331758416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8251 (or 8242 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 38986331758416 in words is "thirty-eight trillion, nine hundred eighty-six billion, three hundred thirty-one million, seven hundred fifty-eight thousand, four hundred sixteen".