38906886118980 has 288 divisors, whose sum is σ = 126823161532032. Its totient is φ = 8874611159040.

The previous prime is 38906886118943. The next prime is 38906886118981. The reversal of 38906886118980 is 8981168860983.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (38906886118981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 449575794 + ... + 449662326.

It is an arithmetic number, because the mean of its divisors is an integer number (440358199764).

Almost surely, 2^{38906886118980} is an apocalyptic number.

38906886118980 is a gapful number since it is divisible by the number (30) 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 38906886118980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63411580766016).

38906886118980 is an abundant number, since it is smaller than the sum of its proper divisors (87916275413052).

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

38906886118980 is a wasteful number, since it uses less digits than its factorization.

38906886118980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90227 (or 90214 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 75.

The spelling of 38906886118980 in words is "thirty-eight trillion, nine hundred six billion, eight hundred eighty-six million, one hundred eighteen thousand, nine hundred eighty".