38955276093888 has 2016 divisors, whose sum is σ = 155873715379200. Its totient is φ = 9061505925120.

The previous prime is 38955276093829. The next prime is 38955276093889. The reversal of 38955276093888 is 88839067255983.

38955276093888 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 527 + 6 + 0 + 9 + 3 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38955276093889) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18974804670 + ... + 18974806722.

It is an arithmetic number, because the mean of its divisors is an integer number (77318311200).

Almost surely, 2^{38955276093888} is an apocalyptic number.

38955276093888 is a gapful number since it is divisible by the number (38) 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 38955276093888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77936857689600).

38955276093888 is an abundant number, since it is smaller than the sum of its proper divisors (116918439285312).

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

38955276093888 is a wasteful number, since it uses less digits than its factorization.

38955276093888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 81.

The spelling of 38955276093888 in words is "thirty-eight trillion, nine hundred fifty-five billion, two hundred seventy-six million, ninety-three thousand, eight hundred eighty-eight".