38039041296 has 45 divisors (see below), whose sum is σ = 106463033989. Its totient is φ = 12678900288.

The previous prime is 38039041283. The next prime is 38039041297. The reversal of 38039041296 is 69214093083.

It is a happy number.

The square root of 38039041296 is 195036.

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., 26302352400 + 11736688896 = 162180^2 + 108336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38039041297) by changing a digit.

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, 2332306 + ... + 2348558.

Almost surely, 2^38039041296 is an apocalyptic number.

38039041296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38039041296 is the 195036-th square number.

It is an amenable number.

38039041296 is an abundant number, since it is smaller than the sum of its proper divisors (68423992693).

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

38039041296 is an frugal number, since it uses more digits than its factorization.

38039041296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32520 (or 16258 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 38039041296 in words is "thirty-eight billion, thirty-nine million, forty-one thousand, two hundred ninety-six".