38164891595076 has 243 divisors, whose sum is σ = 104119810637661. Its totient is φ = 11785413593088.

The previous prime is 38164891595071. The next prime is 38164891595101. The reversal of 38164891595076 is 67059519846183.

The square root of 38164891595076 is 6177774.

It is a perfect power (a square), and thus also a powerful number.

38164891595076 is a `hidden beast` number, since 3 + 8 + 1 + 64 + 8 + 9 + 1 + 59 + 507 + 6 = 666.

38164891595076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30161514802500 + 8003376792576 = 5491950^2 + 2829024^2 .

It is a super-3 number, since 3×38164891595076³ (a number of 42 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 38164891594995 and 38164891595013.

It is not an unprimeable number, because it can be changed into a prime (38164891595071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33100512516 + ... + 33100513668.

Almost surely, 2^{38164891595076} is an apocalyptic number.

38164891595076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38164891595076 is the 6177774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38164891595076

38164891595076 is an abundant number, since it is smaller than the sum of its proper divisors (65954919042585).

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

38164891595076 is a wasteful number, since it uses less digits than its factorization.

38164891595076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 38164891595076 in words is "thirty-eight trillion, one hundred sixty-four billion, eight hundred ninety-one million, five hundred ninety-five thousand, seventy-six".