38829096601 has 9 divisors (see below), whose sum is σ = 39237460959. Its totient is φ = 38424945000.

The previous prime is 38829096583. The next prime is 38829096613. The reversal of 38829096601 is 10669092883.

It is a happy number.

The square root of 38829096601 is 197051.

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

38829096601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37306536201 + 1522560400 = 193149^2 + 39020^2 .

It is not a de Polignac number, because 38829096601 - 2¹¹ = 38829094553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38829096001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19901176 + ... + 19903126.

Almost surely, 2^38829096601 is an apocalyptic number.

38829096601 is the 197051-st square number.

38829096601 is the 98526-th centered octagonal number.

It is an amenable number.

38829096601 is a deficient number, since it is larger than the sum of its proper divisors (408364358).

38829096601 is an frugal number, since it uses more digits than its factorization.

38829096601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 38829096601 in words is "thirty-eight billion, eight hundred twenty-nine million, ninety-six thousand, six hundred one".