38193666624 has 189 divisors, whose sum is σ = 116537068297. Its totient is φ = 11957311488.

The previous prime is 38193666619. The next prime is 38193666629. The reversal of 38193666624 is 42666639183.

The square root of 38193666624 is 195432.

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

It is an interprime number because it is at equal distance from previous prime (38193666619) and next prime (38193666629).

It can be written as a sum of positive squares in only one way, i.e., 29735553600 + 8458113024 = 172440^2 + 91968^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38193666629) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79736017 + ... + 79736495.

Almost surely, 2^38193666624 is an apocalyptic number.

38193666624 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

38193666624 is the 195432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38193666624

38193666624 is an abundant number, since it is smaller than the sum of its proper divisors (78343401673).

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

38193666624 is an equidigital number, since it uses as much as digits as its factorization.

38193666624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 501 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 38193666624 in words is "thirty-eight billion, one hundred ninety-three million, six hundred sixty-six thousand, six hundred twenty-four".