We determine curvature properties of pseudosymmetry type of hypersurfaces in Euclidean spaces $\mathbb E^{n+1}$, $n\geqslant 5$, having three distinct non-zero principal curvatures $\lambda_1$, $\lambda_2$ and $\lambda_3$ of multiplicity $1$, $p$ and $n-p-1$, respectively. For some hypersurfaces having this property the sum of $\lambda_1$, $\lambda_2$ and $\lambda_3$ is equal to the trace of the shape operator of $M$. We present an example of such hypersurface.