38067131664 has 135 divisors (see below), whose sum is σ = 108530649669. Its totient is φ = 12455694720.

The previous prime is 38067131653. The next prime is 38067131671. The reversal of 38067131664 is 46613176083.

The square root of 38067131664 is 195108.

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

It can be written as a sum of positive squares in only one way, i.e., 35453877264 + 2613254400 = 188292^2 + 51120^2 .

It is a super-2 number, since 2×38067131664² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166231902 + ... + 166232130.

Almost surely, 2^38067131664 is an apocalyptic number.

38067131664 is the 195108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38067131664

38067131664 is an abundant number, since it is smaller than the sum of its proper divisors (70463518005).

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

38067131664 is an equidigital number, since it uses as much as digits as its factorization.

38067131664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 38067131664 in words is "thirty-eight billion, sixty-seven million, one hundred thirty-one thousand, six hundred sixty-four".