3873758101 has 2 divisors, whose sum is σ = 3873758102. Its totient is φ = 3873758100.

The previous prime is 3873758099. The next prime is 3873758113. The reversal of 3873758101 is 1018573783.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2766865201 + 1106892900 = 52601^2 + 33270^2 .

It is a cyclic number.

It is not a de Polignac number, because 3873758101 - 2¹ = 3873758099 is a prime.

Together with 3873758099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3873758131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1936879050 + 1936879051.

It is an arithmetic number, because the mean of its divisors is an integer number (1936879051).

Almost surely, 2^3873758101 is an apocalyptic number.

It is an amenable number.

3873758101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3873758101 is an equidigital number, since it uses as much as digits as its factorization.

3873758101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 43.

The square root of 3873758101 is about 62239.5220177662. The cubic root of 3873758101 is about 1570.5225113854.

The spelling of 3873758101 in words is "three billion, eight hundred seventy-three million, seven hundred fifty-eight thousand, one hundred one".