3790120457089 has 2 divisors, whose sum is σ = 3790120457090. Its totient is φ = 3790120457088.

The previous prime is 3790120457063. The next prime is 3790120457093. The reversal of 3790120457089 is 9807540210973.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3570557926464 + 219562530625 = 1889592^2 + 468575^2 .

It is a cyclic number.

It is not a de Polignac number, because 3790120457089 - 2¹⁷ = 3790120326017 is a prime.

It is a super-3 number, since 3×3790120457089³ (a number of 39 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3790120457789) 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, 1895060228544 + 1895060228545.

It is an arithmetic number, because the mean of its divisors is an integer number (1895060228545).

Almost surely, 2^{3790120457089} is an apocalyptic number.

It is an amenable number.

3790120457089 is a deficient number, since it is larger than the sum of its proper divisors (1).

3790120457089 is an equidigital number, since it uses as much as digits as its factorization.

3790120457089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3810240, while the sum is 55.

The spelling of 3790120457089 in words is "three trillion, seven hundred ninety billion, one hundred twenty million, four hundred fifty-seven thousand, eighty-nine".