38106163264 has 63 divisors (see below), whose sum is σ = 81924687687. Its totient is φ = 17578089984.

The previous prime is 38106163231. The next prime is 38106163409. The reversal of 38106163264 is 46236160183.

The square root of 38106163264 is 195208.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2581452864 + 35524710400 = 50808^2 + 188480^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 20300694 + ... + 20302570.

Almost surely, 2^38106163264 is an apocalyptic number.

38106163264 is the 195208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38106163264

38106163264 is an abundant number, since it is smaller than the sum of its proper divisors (43818524423).

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

38106163264 is an frugal number, since it uses more digits than its factorization.

38106163264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 38106163264 in words is "thirty-eight billion, one hundred six million, one hundred sixty-three thousand, two hundred sixty-four".