38337408941841 has 27 divisors (see below), whose sum is σ = 57503944065243. Its totient is φ = 25557938274960.

The previous prime is 38337408941831. The next prime is 38337408941911. The reversal of 38337408941841 is 14814980473383.

The square root of 38337408941841 is 6191721.

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

38337408941841 is a `hidden beast` number, since 3 + 8 + 3 + 374 + 0 + 89 + 4 + 184 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1003052241 + 38336405889600 = 31671^2 + 6191640^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 38337408941841 - 2⁵ = 38337408941809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38337408941801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 501491181 + ... + 501567621.

Almost surely, 2^{38337408941841} is an apocalyptic number.

38337408941841 is the 6191721-st square number.

38337408941841 is the 3095861-st centered octagonal number.

It is an amenable number.

38337408941841 is a deficient number, since it is larger than the sum of its proper divisors (19166535123402).

38337408941841 is an frugal number, since it uses more digits than its factorization.

38337408941841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152906 (or 76444 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 38337408941841 in words is "thirty-eight trillion, three hundred thirty-seven billion, four hundred eight million, nine hundred forty-one thousand, eight hundred forty-one".