38177788133376 has 384 divisors, whose sum is σ = 114570930146400. Its totient is φ = 12719814082560.

The previous prime is 38177788133357. The next prime is 38177788133383. The reversal of 38177788133376 is 67333188777183.

38177788133376 is a `hidden beast` number, since 3 + 8 + 177 + 7 + 8 + 81 + 3 + 3 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18345884656 + ... + 18345886736.

Almost surely, 2^{38177788133376} is an apocalyptic number.

38177788133376 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 38177788133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57285465073200).

38177788133376 is an abundant number, since it is smaller than the sum of its proper divisors (76393142013024).

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

38177788133376 is an frugal number, since it uses more digits than its factorization.

38177788133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2086 counting only the distinct ones).

The product of its digits is 597445632, while the sum is 72.

The spelling of 38177788133376 in words is "thirty-eight trillion, one hundred seventy-seven billion, seven hundred eighty-eight million, one hundred thirty-three thousand, three hundred seventy-six".