38339206416 has 525 divisors, whose sum is σ = 133533140181. Its totient is φ = 10658003328.

The previous prime is 38339206351. The next prime is 38339206517. The reversal of 38339206416 is 61460293383.

The square root of 38339206416 is 195804.

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., 34306448400 + 4032758016 = 185220^2 + 63504^2 .

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 104 ways as a sum of consecutive naturals, for example, 1036194750 + ... + 1036194786.

Almost surely, 2^38339206416 is an apocalyptic number.

38339206416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38339206416 is the 195804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38339206416

38339206416 is an abundant number, since it is smaller than the sum of its proper divisors (95193933765).

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

38339206416 is an frugal number, since it uses more digits than its factorization.

38339206416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

Adding to 38339206416 its reverse (61460293383), we get a palindrome (99799499799).

The spelling of 38339206416 in words is "thirty-eight billion, three hundred thirty-nine million, two hundred six thousand, four hundred sixteen".