3838121856001 has 2 divisors, whose sum is σ = 3838121856002. Its totient is φ = 3838121856000.

The previous prime is 3838121855927. The next prime is 3838121856031. The reversal of 3838121856001 is 1006581218383.

3838121856001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3749350632976 + 88771223025 = 1936324^2 + 297945^2 .

It is a cyclic number.

It is not a de Polignac number, because 3838121856001 - 2¹³ = 3838121847809 is a prime.

It is not a weakly prime, because it can be changed into another prime (3838121856031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1919060928000 + 1919060928001.

It is an arithmetic number, because the mean of its divisors is an integer number (1919060928001).

Almost surely, 2^{3838121856001} is an apocalyptic number.

It is an amenable number.

3838121856001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3838121856001 is an equidigital number, since it uses as much as digits as its factorization.

3838121856001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 3838121856001 in words is "three trillion, eight hundred thirty-eight billion, one hundred twenty-one million, eight hundred fifty-six thousand, one".