38810936481408 has 480 divisors, whose sum is σ = 144693231897060. Its totient is φ = 10235849637888.

The previous prime is 38810936481391. The next prime is 38810936481409. The reversal of 38810936481408 is 80418463901883.

38810936481408 is a `hidden beast` number, since 3 + 8 + 8 + 1 + 0 + 93 + 64 + 81 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33810131363904 + 5000805117504 = 5814648^2 + 2236248^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (38810936481409) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3666160 + ... + 9542672.

Almost surely, 2^{38810936481408} 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 38810936481408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72346615948530).

38810936481408 is an abundant number, since it is smaller than the sum of its proper divisors (105882295415652).

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

38810936481408 is a wasteful number, since it uses less digits than its factorization.

38810936481408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876566 (or 5876538 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 38810936481408 in words is "thirty-eight trillion, eight hundred ten billion, nine hundred thirty-six million, four hundred eighty-one thousand, four hundred eight".