38879602093201 has 9 divisors (see below), whose sum is σ = 39959039264571. Its totient is φ = 37828577563992.

The previous prime is 38879602093187. The next prime is 38879602093219. The reversal of 38879602093201 is 10239020697883.

The square root of 38879602093201 is 6235351.

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., 34790001873025 + 4089600220176 = 5898305^2 + 2022276^2 .

It is not a de Polignac number, because 38879602093201 - 2²⁹ = 38879065222289 is a prime.

It is a super-3 number, since 3×38879602093201³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38879602093231) 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, 230623726 + ... + 230792248.

It is an arithmetic number, because the mean of its divisors is an integer number (4439893251619).

Almost surely, 2^{38879602093201} is an apocalyptic number.

38879602093201 is the 6235351-st square number.

38879602093201 is the 3117676-th centered octagonal number.

It is an amenable number.

38879602093201 is a deficient number, since it is larger than the sum of its proper divisors (1079437171370).

38879602093201 is an frugal number, since it uses more digits than its factorization.

38879602093201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337120 (or 168560 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 38879602093201 in words is "thirty-eight trillion, eight hundred seventy-nine billion, six hundred two million, ninety-three thousand, two hundred one".