38777646166038 has 384 divisors, whose sum is σ = 98229696364800. Its totient is φ = 10965323206656.

The previous prime is 38777646166037. The next prime is 38777646166159. The reversal of 38777646166038 is 83066164677783.

38777646166038 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 7 + 6 + 4 + 6 + 1 + 6 + 603 + 8 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38777646166037) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4777333156 + ... + 4777341272.

It is an arithmetic number, because the mean of its divisors is an integer number (255806500950).

Almost surely, 2^{38777646166038} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38777646166038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49114848182400).

38777646166038 is an abundant number, since it is smaller than the sum of its proper divisors (59452050198762).

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

38777646166038 is a wasteful number, since it uses less digits than its factorization.

38777646166038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8616 (or 8613 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 38777646166038 in words is "thirty-eight trillion, seven hundred seventy-seven billion, six hundred forty-six million, one hundred sixty-six thousand, thirty-eight".